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253531104 = 25337137521
BaseRepresentation
bin11110001110010…
…01001111100000
3122200001201021220
433013021033200
51004400443404
641054015040
76165656511
oct1707111740
9580051256
10253531104
11120125742
1270aa7480
13406aaa08
1425958a08
15173d04d9
hexf1c93e0

253531104 has 96 divisors (see below), whose sum is σ = 689816736. Its totient is φ = 81469440.

The previous prime is 253531097. The next prime is 253531111. The reversal of 253531104 is 401135352.

253531104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253531097) and next prime (253531111).

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486364 + ... + 486884.

It is an arithmetic number, because the mean of its divisors is an integer number (7185591).

Almost surely, 2253531104 is an apocalyptic number.

253531104 is a gapful number since it is divisible by the number (24) 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 253531104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344908368).

253531104 is an abundant number, since it is smaller than the sum of its proper divisors (436285632).

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

253531104 is a wasteful number, since it uses less digits than its factorization.

253531104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 253531104 is about 15922.6600792707. The cubic root of 253531104 is about 632.9126109429.

Adding to 253531104 its reverse (401135352), we get a palindrome (654666456).

The spelling of 253531104 in words is "two hundred fifty-three million, five hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 137 148 222 274 296 411 444 521 548 592 822 888 1042 1096 1184 1563 1644 1776 2084 2192 3126 3288 3552 4168 4384 5069 6252 6576 8336 10138 12504 13152 15207 16672 19277 20276 25008 30414 38554 40552 50016 57831 60828 71377 77108 81104 115662 121656 142754 154216 162208 214131 231324 243312 285508 308432 428262 462648 486624 571016 616864 856524 925296 1142032 1713048 1850592 2284064 2640949 3426096 5281898 6852192 7922847 10563796 15845694 21127592 31691388 42255184 63382776 84510368 126765552 253531104