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500765056 = 27111720921
BaseRepresentation
bin11101110110010…
…001000110000000
31021220021111111221
4131312101012000
52011143440211
6121405044424
715260301301
oct3566210600
91256244457
10500765056
1123773a220
1211b856714
137c9923ac
144a7147a8
152de69c71
hex1dd91180

500765056 has 64 divisors (see below), whose sum is σ = 1152383760. Its totient is φ = 214220800.

The previous prime is 500765053. The next prime is 500765071. The reversal of 500765056 is 650567005.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500765053) 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, 13476 + ... + 34396.

Almost surely, 2500765056 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 500765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576191880).

500765056 is an abundant number, since it is smaller than the sum of its proper divisors (651618704).

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

500765056 is a wasteful number, since it uses less digits than its factorization.

500765056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20963 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 500765056 is about 22377.7804082532. The cubic root of 500765056 is about 794.1051365874.

The spelling of 500765056 in words is "five hundred million, seven hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 20921 23936 41842 83684 167368 230131 334736 355657 460262 669472 711314 920524 1338944 1422628 1841048 2677888 2845256 3682096 3912227 5690512 7364192 7824454 11381024 14728384 15648908 22762048 29456768 31297816 45524096 62595632 125191264 250382528 500765056