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372000864 = 25329472843
BaseRepresentation
bin10110001011000…
…100100001100000
3221220222121020210
4112023010201200
51230213011424
6100525134120
712134645424
oct2613044140
9856877223
10372000864
11180a91834
12a46ba340
135c0ba271
1437596b84
15229d2729
hex162c4860

372000864 has 96 divisors (see below), whose sum is σ = 1032030720. Its totient is φ = 117135872.

The previous prime is 372000857. The next prime is 372000901. The reversal of 372000864 is 468000273.

It is a tau number, because it is divible by the number of its divisors (96).

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, 129427 + ... + 132269.

It is an arithmetic number, because the mean of its divisors is an integer number (10750320).

Almost surely, 2372000864 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 372000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516015360).

372000864 is an abundant number, since it is smaller than the sum of its proper divisors (660029856).

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

372000864 is a wasteful number, since it uses less digits than its factorization.

372000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 372000864 is about 19287.3239201295. The cubic root of 372000864 is about 719.1971916117.

The spelling of 372000864 in words is "three hundred seventy-two million, eight hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 87 94 96 116 141 174 188 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 2256 2726 2784 2843 4089 4512 5452 5686 8178 8529 10904 11372 16356 17058 21808 22744 32712 34116 43616 45488 65424 68232 82447 90976 130848 133621 136464 164894 247341 267242 272928 329788 400863 494682 534484 659576 801726 989364 1068968 1319152 1603452 1978728 2137936 2638304 3206904 3875009 3957456 4275872 6413808 7750018 7914912 11625027 12827616 15500036 23250054 31000072 46500108 62000144 93000216 124000288 186000432 372000864