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252770928 = 24379191349
BaseRepresentation
bin11110001000011…
…11101001110000
3122121122002112020
433010033221300
51004202132203
641025431440
76156342324
oct1704175160
9577562466
10252770928
1111a7565a3
127079b580
13404a29c7
14257db984
15172d0153
hexf10fa70

252770928 has 80 divisors (see below), whose sum is σ = 666624000. Its totient is φ = 82517760.

The previous prime is 252770911. The next prime is 252770933. The reversal of 252770928 is 829077252.

It is a happy number.

252770928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252770928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724098 + ... + 724446.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2252770928 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 252770928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312000).

252770928 is an abundant number, since it is smaller than the sum of its proper divisors (413853072).

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

252770928 is a wasteful number, since it uses less digits than its factorization.

252770928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 252770928 is about 15898.7712732777. The cubic root of 252770928 is about 632.2794123163.

The spelling of 252770928 in words is "two hundred fifty-two million, seven hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 191 237 316 349 382 474 573 632 698 764 948 1047 1146 1264 1396 1528 1896 2094 2292 2792 3056 3792 4188 4584 5584 8376 9168 15089 16752 27571 30178 45267 55142 60356 66659 82713 90534 110284 120712 133318 165426 181068 199977 220568 241424 266636 330852 362136 399954 441136 533272 661704 724272 799908 1066544 1323408 1599816 3199632 5266061 10532122 15798183 21064244 31596366 42128488 63192732 84256976 126385464 252770928