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5240435232 = 253177343987
BaseRepresentation
bin1001110000101101…
…01011001000100000
3111112012210200200210
410320112223020200
541213022411412
62224000414120
7243601651554
oct47026531040
914465720623
105240435232
11224a0a860a
121023017340
13656902866
14379dab864
1520a0eb83c
hex1385ab220

5240435232 has 96 divisors (see below), whose sum is σ = 14765188032. Its totient is φ = 1621499904.

The previous prime is 5240435191. The next prime is 5240435251. The reversal of 5240435232 is 2325340425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×52404352322 = 54924322841573787648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5240435232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97143 + ... + 141129.

It is an arithmetic number, because the mean of its divisors is an integer number (153804042).

Almost surely, 25240435232 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 5240435232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382594016).

5240435232 is an abundant number, since it is smaller than the sum of its proper divisors (9524752800).

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

5240435232 is a wasteful number, since it uses less digits than its factorization.

5240435232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44090 (or 44082 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 5240435232 is about 72390.8504715893. The cubic root of 5240435232 is about 1736.9572081708.

Adding to 5240435232 its reverse (2325340425), we get a palindrome (7565775657).

The spelling of 5240435232 in words is "five billion, two hundred forty million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 73 96 102 136 146 204 219 272 292 408 438 544 584 816 876 1168 1241 1632 1752 2336 2482 3504 3723 4964 7008 7446 9928 14892 19856 29784 39712 43987 59568 87974 119136 131961 175948 263922 351896 527844 703792 747779 1055688 1407584 1495558 2111376 2243337 2991116 3211051 4222752 4486674 5982232 6422102 8973348 9633153 11964464 12844204 17946696 19266306 23928928 25688408 35893392 38532612 51376816 54587867 71786784 77065224 102753632 109175734 154130448 163763601 218351468 308260896 327527202 436702936 655054404 873405872 1310108808 1746811744 2620217616 5240435232