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880252296 = 2337112391993
BaseRepresentation
bin110100011101111…
…001010110001000
32021100100110010220
4310131321112020
53300321033141
6223202510040
730546010140
oct6435712610
92240313126
10880252296
11411974640
12206965320
131104a1061
1484c99920
155242a766
hex34779588

880252296 has 128 divisors (see below), whose sum is σ = 2756505600. Its totient is φ = 227566080.

The previous prime is 880252277. The next prime is 880252309. The reversal of 880252296 is 692252088.

880252296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8802522962 = 1549688209226543232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440676 + ... + 442668.

It is an arithmetic number, because the mean of its divisors is an integer number (21535200).

Almost surely, 2880252296 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 880252296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378252800).

880252296 is an abundant number, since it is smaller than the sum of its proper divisors (1876253304).

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

880252296 is a wasteful number, since it uses less digits than its factorization.

880252296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 880252296 is about 29669.0460918446. The cubic root of 880252296 is about 958.3755426668.

The spelling of 880252296 in words is "eight hundred eighty million, two hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 239 264 308 462 478 616 717 924 956 1434 1673 1848 1912 1993 2629 2868 3346 3986 5019 5258 5736 5979 6692 7887 7972 10038 10516 11958 13384 13951 15774 15944 18403 20076 21032 21923 23916 27902 31548 36806 40152 41853 43846 47832 55209 55804 63096 65769 73612 83706 87692 110418 111608 131538 147224 153461 167412 175384 220836 263076 306922 334824 441672 460383 476327 526152 613844 920766 952654 1227688 1428981 1841532 1905308 2857962 3334289 3683064 3810616 5239597 5715924 6668578 10002867 10479194 11431848 13337156 15718791 20005734 20958388 26674312 31437582 36677179 40011468 41916776 62875164 73354358 80022936 110031537 125750328 146708716 220063074 293417432 440126148 880252296