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375125472 = 2533835231
BaseRepresentation
bin10110010110111…
…111010111100000
3222010212100102000
4112112333113200
51232013003342
6101120124000
712203341161
oct2626772740
9863770360
10375125472
11182826357
12a5766600
135c942547
1437b6b768
1522ded44c
hex165bf5e0

375125472 has 96 divisors (see below), whose sum is σ = 1107509760. Its totient is φ = 123511680.

The previous prime is 375125453. The next prime is 375125501. The reversal of 375125472 is 274521573.

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

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69097 + ... + 74327.

It is an arithmetic number, because the mean of its divisors is an integer number (11536560).

Almost surely, 2375125472 is an apocalyptic number.

375125472 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 375125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553754880).

375125472 is an abundant number, since it is smaller than the sum of its proper divisors (732384288).

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

375125472 is a wasteful number, since it uses less digits than its factorization.

375125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5319 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 375125472 is about 19368.1561331997. The cubic root of 375125472 is about 721.2052037133.

The spelling of 375125472 in words is "three hundred seventy-five million, one hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5231 5976 7968 8964 10462 11952 15693 17928 20924 23904 31386 35856 41848 47079 62772 71712 83696 94158 125544 141237 167392 188316 251088 282474 376632 434173 502176 564948 753264 868346 1129896 1302519 1506528 1736692 2259792 2605038 3473384 3907557 4519584 5210076 6946768 7815114 10420152 11722671 13893536 15630228 20840304 23445342 31260456 41680608 46890684 62520912 93781368 125041824 187562736 375125472