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856904328 = 233276072801
BaseRepresentation
bin110011000100110…
…101001010001000
32012201102020202100
4303010311022020
53223331414303
6221010233400
730143365230
oct6304651210
92181366670
10856904328
113aa7779a5
121bab85860
131086b7aa7
1481b3ccc0
15503678a3
hex33135288

856904328 has 96 divisors (see below), whose sum is σ = 2657640960. Its totient is φ = 244339200.

The previous prime is 856904317. The next prime is 856904369. The reversal of 856904328 is 823409658.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304528 + ... + 307328.

It is an arithmetic number, because the mean of its divisors is an integer number (27683760).

Almost surely, 2856904328 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 856904328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328820480).

856904328 is an abundant number, since it is smaller than the sum of its proper divisors (1800736632).

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

856904328 is a wasteful number, since it uses less digits than its factorization.

856904328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 856904328 is about 29272.9282443694. The cubic root of 856904328 is about 949.8261281055.

The spelling of 856904328 in words is "eight hundred fifty-six million, nine hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 607 1214 1821 2428 2801 3642 4249 4856 5463 5602 7284 8403 8498 10926 11204 12747 14568 16806 16996 19607 21852 22408 25209 25494 33612 33992 38241 39214 43704 50418 50988 58821 67224 76482 78428 100836 101976 117642 152964 156856 176463 201672 235284 305928 352926 470568 705852 1411704 1700207 3400414 5100621 6800828 10201242 11901449 13601656 15301863 20402484 23802898 30603726 35704347 40804968 47605796 61207452 71408694 95211592 107113041 122414904 142817388 214226082 285634776 428452164 856904328