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537923328 = 2831395039
BaseRepresentation
bin100000000100000…
…000111100000000
31101111012100002020
4200010000330000
52100202021303
6125213321440
716221162405
oct4004007400
91344170066
10537923328
11256709838
12130196280
13875a2637
14516282ac
1532359a53
hex20100f00

537923328 has 72 divisors (see below), whose sum is σ = 1442246400. Its totient is φ = 177982464.

The previous prime is 537923317. The next prime is 537923329. The reversal of 537923328 is 823329735.

It is a self number, because there is not a number n which added to its sum of digits gives 537923328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537923329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104233 + ... + 109271.

It is an arithmetic number, because the mean of its divisors is an integer number (20031200).

Almost surely, 2537923328 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 537923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721123200).

537923328 is an abundant number, since it is smaller than the sum of its proper divisors (904323072).

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

537923328 is a wasteful number, since it uses less digits than its factorization.

537923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5183 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 537923328 is about 23193.1741682763. The cubic root of 537923328 is about 813.2800633988.

The spelling of 537923328 in words is "five hundred thirty-seven million, nine hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1112 1668 2224 3336 4448 5039 6672 8896 10078 13344 15117 17792 20156 26688 30234 35584 40312 53376 60468 80624 106752 120936 161248 241872 322496 483744 644992 700421 967488 1289984 1400842 1934976 2101263 2801684 3869952 4202526 5603368 8405052 11206736 16810104 22413472 33620208 44826944 67240416 89653888 134480832 179307776 268961664 537923328