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253276032 = 2736171069
BaseRepresentation
bin11110001100010…
…10111110000000
3122122120202101210
433012022332000
51004314313112
641044330120
76163545042
oct1706127600
9578522353
10253276032
1111aa71039
12709a3940
134061b899
14258cda92
151737eb3c
hexf18af80

253276032 has 64 divisors (see below), whose sum is σ = 674485200. Its totient is φ = 84209664.

The previous prime is 253276027. The next prime is 253276033. The reversal of 253276032 is 230672352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253276033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 236394 + ... + 237462.

Almost surely, 2253276032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337242600).

253276032 is an abundant number, since it is smaller than the sum of its proper divisors (421209168).

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

253276032 is a wasteful number, since it uses less digits than its factorization.

253276032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 253276032 is about 15914.6483467276. The cubic root of 253276032 is about 632.7002866257.

The spelling of 253276032 in words is "two hundred fifty-three million, two hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 617 1069 1234 1851 2138 2468 3207 3702 4276 4936 6414 7404 8552 9872 12828 14808 17104 19744 25656 29616 34208 39488 51312 59232 68416 78976 102624 118464 136832 205248 236928 410496 659573 1319146 1978719 2638292 3957438 5276584 7914876 10553168 15829752 21106336 31659504 42212672 63319008 84425344 126638016 253276032