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375013152 = 2535291663
BaseRepresentation
bin10110010110100…
…011111100100000
3222010122122100000
4112112203330200
51232000410102
6101113500000
712202362543
oct2626437440
9863578300
10375013152
11182759a28
12a5711600
135c903397
1437b3c85a
1522dca01c
hex165a3f20

375013152 has 144 divisors (see below), whose sum is σ = 1144765440. Its totient is φ = 120621312.

The previous prime is 375013147. The next prime is 375013157. The reversal of 375013152 is 251310573.

375013152 is a `hidden beast` number, since 3 + 7 + 501 + 3 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (375013147) and next prime (375013157).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (375013157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224673 + ... + 226335.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2375013152 is an apocalyptic number.

375013152 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 375013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572382720).

375013152 is an abundant number, since it is smaller than the sum of its proper divisors (769752288).

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

375013152 is a wasteful number, since it uses less digits than its factorization.

375013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 375013152 is about 19365.2563112395. The cubic root of 375013152 is about 721.1332154846.

The spelling of 375013152 in words is "three hundred seventy-five million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1044 1296 1392 1566 1663 1944 2088 2349 2592 2784 3132 3326 3888 4176 4698 4989 6264 6652 7047 7776 8352 9396 9978 12528 13304 14094 14967 18792 19956 25056 26608 28188 29934 37584 39912 44901 48227 53216 56376 59868 75168 79824 89802 96454 112752 119736 134703 144681 159648 179604 192908 225504 239472 269406 289362 359208 385816 404109 434043 478944 538812 578724 718416 771632 808218 868086 1077624 1157448 1302129 1436832 1543264 1616436 1736172 2155248 2314896 2604258 3232872 3472344 3906387 4310496 4629792 5208516 6465744 6944688 7812774 10417032 11719161 12931488 13889376 15625548 20834064 23438322 31251096 41668128 46876644 62502192 93753288 125004384 187506576 375013152