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4253253408 = 253341120067
BaseRepresentation
bin1111110110000011…
…0111111100100000
3101222102020122211000
43331200313330200
532202313102113
61542013552000
7210254025465
oct37540677440
911872218730
104253253408
11189293a268
129a84a5600
1352a232bc1
142c4c3966c
1519d5ed373
hexfd837f20

4253253408 has 96 divisors (see below), whose sum is σ = 12707997120. Its totient is φ = 1383160320.

The previous prime is 4253253401. The next prime is 4253253421. The reversal of 4253253408 is 8043523524.

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

It is a super-2 number, since 2×42532534082 = 36180329105327228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4253253401) 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, 24610 + ... + 95457.

It is an arithmetic number, because the mean of its divisors is an integer number (132374970).

Almost surely, 24253253408 is an apocalyptic number.

4253253408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4253253408 is an abundant number, since it is smaller than the sum of its proper divisors (8454743712).

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

4253253408 is a wasteful number, since it uses less digits than its factorization.

4253253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120127 (or 120113 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4253253408 is about 65216.9717788246. The cubic root of 4253253408 is about 1620.2191198806.

The spelling of 4253253408 in words is "four billion, two hundred fifty-three million, two hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 35424 120067 240134 360201 480268 720402 960536 1080603 1440804 1921072 2161206 2881608 3241809 3842144 4322412 4922747 5763216 6483618 8644824 9845494 11526432 12967236 14768241 17289648 19690988 25934472 29536482 34579296 39381976 44304723 51868944 59072964 78763952 88609446 103737888 118145928 132914169 157527904 177218892 236291856 265828338 354437784 472583712 531656676 708875568 1063313352 1417751136 2126626704 4253253408