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253282032 = 2433586301
BaseRepresentation
bin11110001100011…
…00011011110000
3122122121001122000
433012030123300
51004320011112
641044414000
76163601403
oct1706143360
9578531560
10253282032
1111aa755a3
12709a7300
1340621533
14258d1d3a
15173817dc
hexf18c6f0

253282032 has 40 divisors (see below), whose sum is σ = 727014480. Its totient is φ = 84427200.

The previous prime is 253282021. The next prime is 253282067. The reversal of 253282032 is 230282352.

253282032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253281987 and 253282005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292719 + ... + 293582.

It is an arithmetic number, because the mean of its divisors is an integer number (18175362).

Almost surely, 2253282032 is an apocalyptic number.

It is an amenable number.

253282032 is an abundant number, since it is smaller than the sum of its proper divisors (473732448).

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

253282032 is a wasteful number, since it uses less digits than its factorization.

253282032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586318 (or 586306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253282032 is about 15914.8368511901. The cubic root of 253282032 is about 632.7052827186.

The spelling of 253282032 in words is "two hundred fifty-three million, two hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 586301 1172602 1758903 2345204 3517806 4690408 5276709 7035612 9380816 10553418 14071224 15830127 21106836 28142448 31660254 42213672 63320508 84427344 126641016 253282032