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253542944 = 2537214141
BaseRepresentation
bin11110001110011…
…00001000100000
3122200002022112102
433013030020200
51004401333234
641054145532
76166036154
oct1707141040
9580068472
10253542944
11120133626
1270ab22a8
13406b3215
142595d064
15173d3c7e
hexf1cc220

253542944 has 24 divisors (see below), whose sum is σ = 512655948. Its totient is φ = 123344640.

The previous prime is 253542931. The next prime is 253542983. The reversal of 253542944 is 449245352.

It can be written as a sum of positive squares in 2 ways, for example, as 239011600 + 14531344 = 15460^2 + 3812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253542898 and 253542907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105887 + ... + 108254.

Almost surely, 2253542944 is an apocalyptic number.

It is an amenable number.

253542944 is an abundant number, since it is smaller than the sum of its proper divisors (259113004).

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

253542944 is a wasteful number, since it uses less digits than its factorization.

253542944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214188 (or 214180 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 253542944 is about 15923.0318721027. The cubic root of 253542944 is about 632.9224632103.

The spelling of 253542944 in words is "two hundred fifty-three million, five hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 214141 428282 856564 1713128 3426256 6852512 7923217 15846434 31692868 63385736 126771472 253542944