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803416872 = 233174741897
BaseRepresentation
bin101111111000110…
…010101100101000
32001222202210202110
4233320302230220
53121133314442
6211420002320
725623634146
oct5770625450
92058683673
10803416872
11382564a95
121a50903a0
13ca5ab1cb
14789b8596
154a7ee69c
hex2fe32b28

803416872 has 64 divisors (see below), whose sum is σ = 2171992320. Its totient is φ = 246683648.

The previous prime is 803416849. The next prime is 803416891. The reversal of 803416872 is 278614308.

It is a self number, because there is not a number n which added to its sum of digits gives 803416872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773 + ... + 40124.

It is an arithmetic number, because the mean of its divisors is an integer number (33937380).

Almost surely, 2803416872 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 803416872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085996160).

803416872 is an abundant number, since it is smaller than the sum of its proper divisors (1368575448).

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

803416872 is a wasteful number, since it uses less digits than its factorization.

803416872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41970 (or 41966 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 803416872 is about 28344.6092229193. The cubic root of 803416872 is about 929.6375324661.

The spelling of 803416872 in words is "eight hundred three million, four hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1598 2397 3196 4794 6392 9588 19176 41897 83794 125691 167588 251382 335176 502764 712249 1005528 1424498 1969159 2136747 2848996 3938318 4273494 5697992 5907477 7876636 8546988 11814954 15753272 17093976 23629908 33475703 47259816 66951406 100427109 133902812 200854218 267805624 401708436 803416872