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375057216 = 2634711019
BaseRepresentation
bin10110010110101…
…110101101000000
3222010201212210000
4112112232231000
51232003312331
6101114440000
712202635162
oct2626565500
9863655700
10375057216
1118278a046
12a5733000
135c91a461
1437b50932
1522dd80e6
hex165aeb40

375057216 has 140 divisors (see below), whose sum is σ = 1128552480. Its totient is φ = 123137280.

The previous prime is 375057191. The next prime is 375057229. The reversal of 375057216 is 612750573.

375057216 is a `hidden beast` number, since 3 + 75 + 0 + 572 + 16 = 666.

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 19 ways as a sum of consecutive naturals, for example, 367555 + ... + 368573.

Almost surely, 2375057216 is an apocalyptic number.

375057216 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 375057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564276240).

375057216 is an abundant number, since it is smaller than the sum of its proper divisors (753495264).

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

375057216 is a wasteful number, since it uses less digits than its factorization.

375057216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 375057216 is about 19366.3939854584. The cubic root of 375057216 is about 721.1614587337.

The spelling of 375057216 in words is "three hundred seventy-five million, fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 284 288 324 426 432 568 576 639 648 852 864 1019 1136 1278 1296 1704 1728 1917 2038 2272 2556 2592 3057 3408 3834 4076 4544 5112 5184 5751 6114 6816 7668 8152 9171 10224 11502 12228 13632 15336 16304 18342 20448 23004 24456 27513 30672 32608 36684 40896 46008 48912 55026 61344 65216 72349 73368 82539 92016 97824 110052 122688 144698 146736 165078 184032 195648 217047 220104 289396 293472 330156 368064 434094 440208 578792 586944 651141 660312 868188 880416 1157584 1302282 1320624 1736376 1760832 1953423 2315168 2604564 2641248 3472752 3906846 4630336 5209128 5282496 5860269 6945504 7813692 10418256 11720538 13891008 15627384 20836512 23441076 31254768 41673024 46882152 62509536 93764304 125019072 187528608 375057216