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5252122240 = 27573791423
BaseRepresentation
bin1001110010000110…
…10000011010000000
3111120000210110020221
410321003100122000
541224020402430
62225055112424
7244103205511
oct47103203200
914500713227
105252122240
1122557601a2
121026b12714
13659165251
1437b770a08
1520b15957a
hex1390d0680

5252122240 has 128 divisors (see below), whose sum is σ = 12898022400. Its totient is φ = 2044403712.

The previous prime is 5252122229. The next prime is 5252122241. The reversal of 5252122240 is 422212525.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5252122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3690169 + ... + 3691591.

It is an arithmetic number, because the mean of its divisors is an integer number (100765800).

Almost surely, 25252122240 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 5252122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449011200).

5252122240 is an abundant number, since it is smaller than the sum of its proper divisors (7645900160).

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

5252122240 is a wasteful number, since it uses less digits than its factorization.

5252122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5252122240 is about 72471.5270985785. The cubic root of 5252122240 is about 1738.2474801892.

Adding to 5252122240 its reverse (422212525), we get a palindrome (5674334765).

The spelling of 5252122240 in words is "five billion, two hundred fifty-two million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 79 80 128 146 158 160 292 316 320 365 395 584 632 640 730 790 1168 1264 1423 1460 1580 2336 2528 2846 2920 3160 4672 5056 5692 5767 5840 6320 7115 9344 10112 11384 11534 11680 12640 14230 22768 23068 23360 25280 28460 28835 45536 46136 46720 50560 56920 57670 91072 92272 103879 112417 113840 115340 182144 184544 207758 224834 227680 230680 369088 415516 449668 455360 461360 519395 562085 738176 831032 899336 910720 922720 1038790 1124170 1662064 1798672 1845440 2077580 2248340 3324128 3597344 3690880 4155160 4496680 6648256 7194688 8206441 8310320 8993360 13296512 14389376 16412882 16620640 17986720 32825764 33241280 35973440 41032205 65651528 66482560 71946880 82064410 131303056 164128820 262606112 328257640 525212224 656515280 1050424448 1313030560 2626061120 5252122240