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252781928 = 23719376421
BaseRepresentation
bin11110001000100…
…10010101101000
3122121122122121122
433010102111220
51004203010203
641025554412
76156416360
oct1704222550
9577578548
10252781928
1111a763893
12707a5a08
13404a7a09
14258019a0
15172d3538
hexf112568

252781928 has 64 divisors (see below), whose sum is σ = 585686400. Its totient is φ = 99843840.

The previous prime is 252781913. The next prime is 252781961. The reversal of 252781928 is 829187252.

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, 36158 + ... + 42578.

It is an arithmetic number, because the mean of its divisors is an integer number (9151350).

Almost surely, 2252781928 is an apocalyptic number.

252781928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252781928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292843200).

252781928 is an abundant number, since it is smaller than the sum of its proper divisors (332904472).

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

252781928 is a wasteful number, since it uses less digits than its factorization.

252781928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490 (or 6486 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 252781928 is about 15899.1172081974. The cubic root of 252781928 is about 632.2885839574.

The spelling of 252781928 in words is "two hundred fifty-two million, seven hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 133 148 152 259 266 296 518 532 703 1036 1064 1406 2072 2812 4921 5624 6421 9842 12842 19684 25684 39368 44947 51368 89894 121999 179788 237577 243998 359576 475154 487996 853993 950308 975992 1663039 1707986 1900616 3326078 3415972 4513963 6652156 6831944 9027926 13304312 18055852 31597741 36111704 63195482 126390964 252781928