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5042355552 = 2532135325411
BaseRepresentation
bin1001011001000110…
…00011110101100000
3111000102002012110100
410230203003311200
540311320334202
62152203102400
7235645213023
oct45443036540
914012065410
105042355552
1121583073a3
12b88811a00
1362486b650
1435b9691ba
151e7a2141c
hex12c8c3d60

5042355552 has 144 divisors (see below), whose sum is σ = 15734195568. Its totient is φ = 1522160640.

The previous prime is 5042355551. The next prime is 5042355557. The reversal of 5042355552 is 2555532405.

5042355552 is a `hidden beast` number, since 50 + 4 + 2 + 3 + 55 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042355551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185727 + ... + 211137.

It is an arithmetic number, because the mean of its divisors is an integer number (109265247).

Almost surely, 25042355552 is an apocalyptic number.

5042355552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867097784).

5042355552 is an abundant number, since it is smaller than the sum of its proper divisors (10691840016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5042355552 is a wasteful number, since it uses less digits than its factorization.

5042355552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25493 (or 25482 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The square root of 5042355552 is about 71009.5454991792. The cubic root of 5042355552 is about 1714.7908413364.

Adding to 5042355552 its reverse (2555532405), we get a palindrome (7597887957).

The spelling of 5042355552 in words is "five billion, forty-two million, three hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 624 636 689 848 936 954 1248 1272 1378 1696 1872 1908 2067 2544 2756 3744 3816 4134 5088 5512 6201 7632 8268 11024 12402 15264 16536 22048 24804 25411 33072 49608 50822 66144 76233 99216 101644 152466 198432 203288 228699 304932 330343 406576 457398 609864 660686 813152 914796 991029 1219728 1321372 1346783 1829592 1982058 2439456 2642744 2693566 2973087 3659184 3964116 4040349 5285488 5387132 5946174 7318368 7928232 8080698 10570976 10774264 11892348 12121047 15856464 16161396 17508179 21548528 23784696 24242094 31712928 32322792 35016358 43097056 47569392 48484188 52524537 64645584 70032716 95138784 96968376 105049074 129291168 140065432 157573611 193936752 210098148 280130864 315147222 387873504 420196296 560261728 630294444 840392592 1260588888 1680785184 2521177776 5042355552