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4642422552 = 2333591372659
BaseRepresentation
bin1000101001011010…
…11011111100011000
3102222112112111112000
410110231123330120
534001430010202
62044355121000
7223020640425
oct42455337430
912875474460
104642422552
111a72587859
12a968a3160
1358ca516c1
143207c0d4c
151c287291c
hex114b5bf18

4642422552 has 128 divisors (see below), whose sum is σ = 13214880000. Its totient is φ = 1509573888.

The previous prime is 4642422541. The next prime is 4642422553. The reversal of 4642422552 is 2552242464.

4642422552 is a `hidden beast` number, since 4 + 6 + 424 + 225 + 5 + 2 = 666.

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 (4642422553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744599 + ... + 1747257.

It is an arithmetic number, because the mean of its divisors is an integer number (103241250).

Almost surely, 24642422552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642422552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607440000).

4642422552 is an abundant number, since it is smaller than the sum of its proper divisors (8572457448).

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

4642422552 is a wasteful number, since it uses less digits than its factorization.

4642422552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2860 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 4642422552 is about 68135.3252872546. The cubic root of 4642422552 is about 1668.2004055053.

The spelling of 4642422552 in words is "four billion, six hundred forty-two million, four hundred twenty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 137 177 216 236 274 354 411 472 531 548 708 822 1062 1096 1233 1416 1593 1644 2124 2466 2659 3186 3288 3699 4248 4932 5318 6372 7398 7977 8083 9864 10636 12744 14796 15954 16166 21272 23931 24249 29592 31908 32332 47862 48498 63816 64664 71793 72747 95724 96996 143586 145494 156881 191448 193992 218241 287172 290988 313762 364283 436482 470643 574344 581976 627524 728566 872964 941286 1092849 1255048 1411929 1457132 1745928 1882572 2185698 2823858 2914264 3278547 3765144 4235787 4371396 5647716 6557094 8471574 8742792 9835641 11295432 13114188 16943148 19671282 21492697 26228376 33886296 39342564 42985394 64478091 78685128 85970788 128956182 171941576 193434273 257912364 386868546 515824728 580302819 773737092 1160605638 1547474184 2321211276 4642422552