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3285570912 = 253132533821
BaseRepresentation
bin1100001111010101…
…1101010101100000
322110222101021222120
43003311131111200
523212101232122
61302005104240
7144263614641
oct30365352540
98428337876
103285570912
11143668a068
127783b8080
134048cc800
142325016c8
151436a275c
hexc3d5d560

3285570912 has 144 divisors (see below), whose sum is σ = 9517789008. Its totient is φ = 991610880.

The previous prime is 3285570901. The next prime is 3285570917. The reversal of 3285570912 is 2190755823.

It is a happy number.

3285570912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285570917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857962 + ... + 861782.

It is an arithmetic number, because the mean of its divisors is an integer number (66095757).

Almost surely, 23285570912 is an apocalyptic number.

3285570912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285570912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758894504).

3285570912 is an abundant number, since it is smaller than the sum of its proper divisors (6232218096).

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

3285570912 is a wasteful number, since it uses less digits than its factorization.

3285570912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 3285570912 is about 57319.8997905614. The cubic root of 3285570912 is about 1486.6324729099.

The spelling of 3285570912 in words is "three billion, two hundred eighty-five million, five hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 169 208 212 312 318 338 416 424 507 624 636 676 689 848 1014 1248 1272 1352 1378 1696 2028 2067 2544 2704 2756 3821 4056 4134 5088 5408 5512 7642 8112 8268 8957 11024 11463 15284 16224 16536 17914 22048 22926 26871 30568 33072 35828 45852 49673 53742 61136 66144 71656 91704 99346 107484 122272 143312 149019 183408 198692 202513 214968 286624 298038 366816 397384 405026 429936 596076 607539 645749 794768 810052 859872 1192152 1215078 1291498 1589536 1620104 1937247 2384304 2430156 2582996 2632669 3240208 3874494 4768608 4860312 5165992 5265338 6480416 7748988 7898007 9720624 10331984 10530676 15497976 15796014 19441248 20663968 21061352 30995952 31592028 34224697 42122704 61991904 63184056 68449394 84245408 102674091 126368112 136898788 205348182 252736224 273797576 410696364 547595152 821392728 1095190304 1642785456 3285570912