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253185264 = 2434195359
BaseRepresentation
bin11110001011101…
…00110011110000
3122122102010220000
433011310303300
51004303412024
641042350000
76163016313
oct1705646360
9578363800
10253185264
1111aa09922
127095b300
13405b9487
14258a897a
1517362cc9
hexf174cf0

253185264 has 50 divisors (see below), whose sum is σ = 732795360. Its totient is φ = 84394656.

The previous prime is 253185259. The next prime is 253185269. The reversal of 253185264 is 462581352.

It is an interprime number because it is at equal distance from previous prime (253185259) and next prime (253185269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253185269) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 96384 + ... + 98975.

Almost surely, 2253185264 is an apocalyptic number.

253185264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253185264 is an abundant number, since it is smaller than the sum of its proper divisors (479610096).

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

253185264 is a wasteful number, since it uses less digits than its factorization.

253185264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195379 (or 195364 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 253185264 is about 15911.7963787877. The cubic root of 253185264 is about 632.6246961051.

The spelling of 253185264 in words is "two hundred fifty-three million, one hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 195359 390718 586077 781436 1172154 1562872 1758231 2344308 3125744 3516462 4688616 5274693 7032924 9377232 10549386 14065848 15824079 21098772 28131696 31648158 42197544 63296316 84395088 126592632 253185264