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372000096 = 25321327643
BaseRepresentation
bin10110001011000…
…100010101100000
3221220222120012100
4112023010111200
51230213000341
6100525130400
712134643246
oct2613042540
9856876170
10372000096
11180a911a6
12a46b9a00
135c0b9b00
1437596796
15229d23b6
hex162c4560

372000096 has 108 divisors (see below), whose sum is σ = 1145659788. Its totient is φ = 114446592.

The previous prime is 372000089. The next prime is 372000119. The reversal of 372000096 is 690000273.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44851 + ... + 52493.

It is an arithmetic number, because the mean of its divisors is an integer number (10607961).

Almost surely, 2372000096 is an apocalyptic number.

372000096 is a gapful number since it is divisible by the number (36) 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 372000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572829894).

372000096 is an abundant number, since it is smaller than the sum of its proper divisors (773659692).

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

372000096 is a wasteful number, since it uses less digits than its factorization.

372000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 372000096 is about 19287.3040106698. The cubic root of 372000096 is about 719.1966966812.

The spelling of 372000096 in words is "three hundred seventy-two million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 7643 8112 12168 15286 16224 22929 24336 30572 45858 48672 61144 68787 91716 99359 122288 137574 183432 198718 244576 275148 298077 366864 397436 550296 596154 733728 794872 894231 1100592 1192308 1291667 1589744 1788462 2201184 2384616 2583334 3179488 3576924 3875001 4769232 5166668 7153848 7750002 9538464 10333336 11625003 14307696 15500004 20666672 23250006 28615392 31000008 41333344 46500012 62000016 93000024 124000032 186000048 372000096