[go: up one dir, main page]

Search a number
-
+
880625928 = 2337133113007
BaseRepresentation
bin110100011111010…
…100100100001000
32021101001102200010
4310133110210020
53300420012203
6223214511520
730552124350
oct6437244410
92241042603
10880625928
114120aa326
12206b055a0
131105a2140
1484d55b60
15524a1303
hex347d4908

880625928 has 128 divisors (see below), whose sum is σ = 2797240320. Its totient is φ = 224743680.

The previous prime is 880625881. The next prime is 880625929. The reversal of 880625928 is 829526088.

It is a super-2 number, since 2×8806259282 = 1551004050131722368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (880625929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61201 + ... + 74207.

It is an arithmetic number, because the mean of its divisors is an integer number (21853440).

Almost surely, 2880625928 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 880625928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398620160).

880625928 is an abundant number, since it is smaller than the sum of its proper divisors (1916614392).

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

880625928 is a wasteful number, since it uses less digits than its factorization.

880625928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13063 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 880625928 is about 29675.3420873290. The cubic root of 880625928 is about 958.5111208871.

The spelling of 880625928 in words is "eight hundred eighty million, six hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5208 5642 8463 9672 11284 13007 16926 22568 26014 33852 39021 52028 67704 78042 91049 104056 156084 169091 182098 273147 312168 338182 364196 403217 507273 546294 676364 728392 806434 1014546 1092588 1183637 1209651 1352728 1612868 2029092 2185176 2367274 2419302 2822519 3225736 3550911 4058184 4734548 4838604 5241821 5645038 7101822 8467557 9469096 9677208 10483642 11290076 14203644 15725463 16935114 20967284 22580152 28407288 31450926 33870228 36692747 41934568 62901852 67740456 73385494 110078241 125803704 146770988 220156482 293541976 440312964 880625928