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253323352 = 231929101569
BaseRepresentation
bin11110001100101…
…10100001011000
3122122200011022101
433012112201120
51004322321402
641045333144
76164133022
oct1706264130
9578604271
10253323352
1111aaa3647
1270a071b4
1340637299
1425903012
151738db87
hexf196858

253323352 has 64 divisors (see below), whose sum is σ = 523260000. Its totient is φ = 114508800.

The previous prime is 253323347. The next prime is 253323377.

253323352 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 253323352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444924 + ... + 445492.

Almost surely, 2253323352 is an apocalyptic number.

It is an amenable number.

253323352 is an abundant number, since it is smaller than the sum of its proper divisors (269936648).

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

253323352 is a wasteful number, since it uses less digits than its factorization.

253323352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

The product of its digits is 16200, while the sum is 28.

The square root of 253323352 is about 15916.1349579601. The cubic root of 253323352 is about 632.7396870025.

The spelling of 253323352 in words is "two hundred fifty-three million, three hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 19 29 38 58 76 101 116 152 202 232 404 551 569 808 1102 1138 1919 2204 2276 2929 3838 4408 4552 5858 7676 10811 11716 15352 16501 21622 23432 33002 43244 55651 57469 66004 86488 111302 114938 132008 222604 229876 313519 445208 459752 627038 1091911 1254076 1666601 2183822 2508152 3333202 4367644 6666404 8735288 13332808 31665419 63330838 126661676 253323352