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325252992 = 2733189307
BaseRepresentation
bin10011011000101…
…111011110000000
3211200000120020010
4103120233132000
51131231043432
652135144520
711026414311
oct2330573600
9750016203
10325252992
11157662429
1290b15140
13525001bc
14312a8608
151d84b3cc
hex1362f780

325252992 has 128 divisors (see below), whose sum is σ = 904780800. Its totient is φ = 103403520.

The previous prime is 325252981. The next prime is 325253003. The reversal of 325252992 is 299252523.

It is an interprime number because it is at equal distance from previous prime (325252981) and next prime (325253003).

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (97200) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 325252992.

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, 1059303 + ... + 1059609.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2325252992 is an apocalyptic number.

325252992 is a gapful number since it is divisible by the number (32) 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 325252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452390400).

325252992 is an abundant number, since it is smaller than the sum of its proper divisors (579527808).

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

325252992 is a wasteful number, since it uses less digits than its factorization.

325252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 325252992 is about 18034.7717479318. The cubic root of 325252992 is about 687.7127879955.

The spelling of 325252992 in words is "three hundred twenty-five million, two hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 89 93 96 124 128 178 186 192 248 267 307 356 372 384 496 534 614 712 744 921 992 1068 1228 1424 1488 1842 1984 2136 2456 2759 2848 2976 3684 3968 4272 4912 5518 5696 5952 7368 8277 8544 9517 9824 11036 11392 11904 14736 16554 17088 19034 19648 22072 27323 28551 29472 33108 34176 38068 39296 44144 54646 57102 58944 66216 76136 81969 88288 109292 114204 117888 132432 152272 163938 176576 218584 228408 264864 304544 327876 353152 437168 456816 529728 609088 655752 847013 874336 913632 1059456 1218176 1311504 1694026 1748672 1827264 2541039 2623008 3388052 3497344 3654528 5082078 5246016 6776104 10164156 10492032 13552208 20328312 27104416 40656624 54208832 81313248 108417664 162626496 325252992