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870332496 = 243116132689
BaseRepresentation
bin110011111000000…
…011100001010000
32020122200110201220
4303320003201100
53240301114441
6222210125040
730365463345
oct6370034120
92218613656
10870332496
11407309760
12203580780
1310b409b57
14838367cc
155161b466
hex33e03850

870332496 has 80 divisors (see below), whose sum is σ = 2457670080. Its totient is φ = 263208960.

The previous prime is 870332473. The next prime is 870332497. The reversal of 870332496 is 694233078.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870332497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322320 + ... + 325008.

It is an arithmetic number, because the mean of its divisors is an integer number (30720876).

Almost surely, 2870332496 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 870332496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228835040).

870332496 is an abundant number, since it is smaller than the sum of its proper divisors (1587337584).

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

870332496 is a wasteful number, since it uses less digits than its factorization.

870332496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 870332496 is about 29501.3982041530. The cubic root of 870332496 is about 954.7618700332.

The spelling of 870332496 in words is "eight hundred seventy million, three hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 613 1226 1839 2452 2689 3678 4904 5378 6743 7356 8067 9808 10756 13486 14712 16134 20229 21512 26972 29424 29579 32268 40458 43024 53944 59158 64536 80916 88737 107888 118316 129072 161832 177474 236632 323664 354948 473264 709896 1419792 1648357 3296714 4945071 6593428 9890142 13186856 18131927 19780284 26373712 36263854 39560568 54395781 72527708 79121136 108791562 145055416 217583124 290110832 435166248 870332496