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537041536 = 2719239601
BaseRepresentation
bin100000000000101…
…001101010000000
31101102112112111021
4200000221222000
52044440312121
6125142355224
716210530523
oct4000515200
91342475437
10537041536
11256167289
1212ba2bb14
1387354175
1451478bba
1532233641
hex20029a80

537041536 has 64 divisors (see below), whose sum is σ = 1175284800. Its totient is φ = 243302400.

The previous prime is 537041501. The next prime is 537041537. The reversal of 537041536 is 635140735.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5370415362 = 576827222778478592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (537041537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51136 + ... + 60736.

It is an arithmetic number, because the mean of its divisors is an integer number (18363825).

Almost surely, 2537041536 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 537041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587642400).

537041536 is an abundant number, since it is smaller than the sum of its proper divisors (638243264).

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

537041536 is a wasteful number, since it uses less digits than its factorization.

537041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 537041536 is about 23174.1566405339. The cubic root of 537041536 is about 812.8354299764.

The spelling of 537041536 in words is "five hundred thirty-seven million, forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 6992 9601 13984 19202 27968 38404 55936 76808 153616 182419 220823 307232 364838 441646 614464 729676 883292 1228928 1459352 1766584 2918704 3533168 4195637 5837408 7066336 8391274 11674816 14132672 16782548 23349632 28265344 33565096 67130192 134260384 268520768 537041536