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252803056 = 241117194447
BaseRepresentation
bin11110001000101…
…11011111110000
3122121200201121011
433010113133300
51004204144211
641030240304
76156535102
oct1704273760
9577621534
10252803056
1111a778750
12707b6094
13404b450c
1425809572
15172d9921
hexf1177f0

252803056 has 80 divisors (see below), whose sum is σ = 595676160. Its totient is φ = 102435840.

The previous prime is 252803029. The next prime is 252803059. The reversal of 252803056 is 650308252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252803059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54625 + ... + 59071.

It is an arithmetic number, because the mean of its divisors is an integer number (7445952).

Almost surely, 2252803056 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 252803056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297838080).

252803056 is an abundant number, since it is smaller than the sum of its proper divisors (342873104).

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

252803056 is a wasteful number, since it uses less digits than its factorization.

252803056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 252803056 is about 15899.7816337206. The cubic root of 252803056 is about 632.3061994321.

It can be divided in two parts, 252 and 803056, that added together give a palindrome (803308).

The spelling of 252803056 in words is "two hundred fifty-two million, eight hundred three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 4447 5168 7106 8894 14212 17788 28424 35576 48917 56848 71152 75599 84493 97834 151198 168986 195668 302396 337972 391336 604792 675944 782672 831589 929423 1209584 1351888 1436381 1663178 1858846 2872762 3326356 3717692 5745524 6652712 7435384 11491048 13305424 14870768 15800191 22982096 31600382 63200764 126401528 252803056