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3676403952 = 24321317115523
BaseRepresentation
bin1101101100100001…
…0111100011110000
3100111012210200010100
43123020113203300
530012124411302
61404450032400
7160050626604
oct33310274360
910435720110
103676403952
111617263781
12867278700
13467881770
1426c39b504
15167b54d1c
hexdb2178f0

3676403952 has 120 divisors (see below), whose sum is σ = 11732155344. Its totient is φ = 1064650752.

The previous prime is 3676403947. The next prime is 3676403959. The reversal of 3676403952 is 2593046763.

3676403952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3676403898 and 3676403907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676403959) 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, 25938 + ... + 89585.

Almost surely, 23676403952 is an apocalyptic number.

It is an amenable number.

3676403952 is an abundant number, since it is smaller than the sum of its proper divisors (8055751392).

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

3676403952 is a wasteful number, since it uses less digits than its factorization.

3676403952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115567 (or 115558 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3676403952 is about 60633.3567601201. The cubic root of 3676403952 is about 1543.3854727345.

The spelling of 3676403952 in words is "three billion, six hundred seventy-six million, four hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 115523 231046 346569 462092 693138 924184 1039707 1386276 1501799 1848368 1963891 2079414 2772552 3003598 3927782 4158828 4505397 5545104 5891673 6007196 7855564 8317656 9010794 11783346 12014392 13516191 15711128 16635312 17675019 18021588 23566692 24028784 25530583 27032382 31422256 35350038 36043176 47133384 51061166 54064764 70700076 72086352 76591749 94266768 102122332 108129528 141400152 153183498 204244664 216259056 229775247 282800304 306366996 408489328 459550494 612733992 919100988 1225467984 1838201976 3676403952