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3865749408 = 253317263191
BaseRepresentation
bin1110011001101010…
…1010011110100000
3100222102002102021000
43212122222132200
530404112440113
61435332232000
7164540220303
oct34632523640
910872072230
103865749408
111704129824
128ba76b600
13497b782b1
142895a8b3a
151795a7373
hexe66aa7a0

3865749408 has 96 divisors (see below), whose sum is σ = 11938389120. Its totient is φ = 1212779520.

The previous prime is 3865749397. The next prime is 3865749409. The reversal of 3865749408 is 8049475683.

3865749408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3865749409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116908 + ... + 146283.

It is an arithmetic number, because the mean of its divisors is an integer number (124358220).

Almost surely, 23865749408 is an apocalyptic number.

It is an amenable number.

3865749408 is an abundant number, since it is smaller than the sum of its proper divisors (8072639712).

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

3865749408 is a wasteful number, since it uses less digits than its factorization.

3865749408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263227 (or 263213 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3865749408 is about 62175.1510492737. The cubic root of 3865749408 is about 1569.4394536948.

The spelling of 3865749408 in words is "three billion, eight hundred sixty-five million, seven hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 263191 526382 789573 1052764 1579146 2105528 2368719 3158292 4211056 4474247 4737438 6316584 7106157 8422112 8948494 9474876 12633168 13422741 14212314 17896988 18949752 25266336 26845482 28424628 35793976 37899504 40268223 53690964 56849256 71587952 75799008 80536446 107381928 113698512 120804669 143175904 161072892 214763856 227397024 241609338 322145784 429527712 483218676 644291568 966437352 1288583136 1932874704 3865749408