Search a number
-
+
375125904 = 2436291109
BaseRepresentation
bin10110010110111…
…111011110010000
3222010212101000000
4112112333132100
51232013012104
6101120130000
712203342346
oct2626773620
9863771000
10375125904
1118282670a
12a5766900
135c9427ba
1437b6b996
1522ded639
hex165bf790

375125904 has 140 divisors (see below), whose sum is σ = 1128303900. Its totient is φ = 120621312.

The previous prime is 375125867. The next prime is 375125951. The reversal of 375125904 is 409521573.

It can be written as a sum of positive squares in 2 ways, for example, as 76527504 + 298598400 = 8748^2 + 17280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 27 ways as a sum of consecutive naturals, for example, 337702 + ... + 338810.

Almost surely, 2375125904 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 375125904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564151950).

375125904 is an abundant number, since it is smaller than the sum of its proper divisors (753177996).

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

375125904 is a wasteful number, since it uses less digits than its factorization.

375125904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 375125904 is about 19368.1672855229. The cubic root of 375125904 is about 721.2054805633.

The spelling of 375125904 in words is "three hundred seventy-five million, one hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 729 783 972 1044 1109 1296 1392 1458 1566 1944 2088 2218 2349 2916 3132 3327 3888 4176 4436 4698 5832 6264 6654 7047 8872 9396 9981 11664 12528 13308 14094 17744 18792 19962 21141 26616 28188 29943 32161 37584 39924 42282 53232 56376 59886 64322 79848 84564 89829 96483 112752 119772 128644 159696 169128 179658 192966 239544 257288 269487 289449 338256 359316 385932 479088 514576 538974 578898 718632 771864 808461 868347 1077948 1157796 1437264 1543728 1616922 1736694 2155896 2315592 2605041 3233844 3473388 4311792 4631184 5210082 6467688 6946776 7815123 10420164 12935376 13893552 15630246 20840328 23445369 31260492 41680656 46890738 62520984 93781476 125041968 187562952 375125904