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253736272 = 24149106433
BaseRepresentation
bin11110001111110…
…11010101010000
3122200110010201201
433013323111100
51004424030042
641102240544
76200502616
oct1707732520
9580403651
10253736272
111202558a9
1270b86154
134075020a
14259ad6b6
15174211b7
hexf1fb550

253736272 has 20 divisors (see below), whose sum is σ = 494918100. Its totient is φ = 126015488.

The previous prime is 253736261. The next prime is 253736291. The reversal of 253736272 is 272637352.

It can be written as a sum of positive squares in 2 ways, for example, as 98883136 + 154853136 = 9944^2 + 12444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50833 + ... + 55600.

It is an arithmetic number, because the mean of its divisors is an integer number (24745905).

Almost surely, 2253736272 is an apocalyptic number.

It is an amenable number.

253736272 is a deficient number, since it is larger than the sum of its proper divisors (241181828).

253736272 is a wasteful number, since it uses less digits than its factorization.

253736272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106590 (or 106584 counting only the distinct ones).

The product of its digits is 105840, while the sum is 37.

The square root of 253736272 is about 15929.1014184730. The cubic root of 253736272 is about 633.0832913849.

It can be divided in two parts, 2537 and 36272, that added together give a square (38809 = 1972).

The spelling of 253736272 in words is "two hundred fifty-three million, seven hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 106433 212866 425732 851464 1702928 15858517 31717034 63434068 126868136 253736272