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252852732 = 22331131759
BaseRepresentation
bin11110001001000…
…11100111111100
3122121210020202000
433010203213330
51004212241412
641031302300
76160132656
oct1704434774
9577706660
10252852732
1111a802000
127081a990
1340501002
142581d6d6
15172e94dc
hexf1239fc

252852732 has 96 divisors (see below), whose sum is σ = 721459200. Its totient is φ = 76578480.

The previous prime is 252852697. The next prime is 252852751. The reversal of 252852732 is 237258252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142869 + ... + 144627.

It is an arithmetic number, because the mean of its divisors is an integer number (7515200).

Almost surely, 2252852732 is an apocalyptic number.

252852732 is a gapful number since it is divisible by the number (22) 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 252852732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360729600).

252852732 is an abundant number, since it is smaller than the sum of its proper divisors (468606468).

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

252852732 is a wasteful number, since it uses less digits than its factorization.

252852732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1775 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 252852732 is about 15901.3437168058. The cubic root of 252852732 is about 632.3476129420.

The spelling of 252852732 in words is "two hundred fifty-two million, eight hundred fifty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1331 1452 1759 2178 2662 3267 3518 3993 4356 5277 5324 6534 7036 7986 10554 11979 13068 15831 15972 19349 21108 23958 31662 35937 38698 47493 47916 58047 63324 71874 77396 94986 116094 143748 174141 189972 212839 232188 348282 425678 522423 638517 696564 851356 1044846 1277034 1915551 2089692 2341229 2554068 3831102 4682458 5746653 7023687 7662204 9364916 11493306 14047374 21071061 22986612 28094748 42142122 63213183 84284244 126426366 252852732