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376142624 = 25111326323
BaseRepresentation
bin10110011010110…
…111101100100000
3222012210000200022
4112122313230200
51232243030444
6101154013012
712215105504
oct2632675440
9865700608
10376142624
11183360580
12a5b77168
135cc0a500
1437d54304
152304e9ee
hex166b7b20

376142624 has 72 divisors (see below), whose sum is σ = 874912752. Its totient is φ = 157797120.

The previous prime is 376142581. The next prime is 376142671. The reversal of 376142624 is 426241673.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56327 + ... + 62649.

It is an arithmetic number, because the mean of its divisors is an integer number (12151566).

Almost surely, 2376142624 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 376142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437456376).

376142624 is an abundant number, since it is smaller than the sum of its proper divisors (498770128).

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

376142624 is a wasteful number, since it uses less digits than its factorization.

376142624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6349 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 376142624 is about 19394.3967165777. The cubic root of 376142624 is about 721.8564642805.

The spelling of 376142624 in words is "three hundred seventy-six million, one hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 1144 1352 1859 2288 2704 3718 4576 5408 6323 7436 12646 14872 25292 29744 50584 59488 69553 82199 101168 139106 164398 202336 278212 328796 556424 657592 904189 1068587 1112848 1315184 1808378 2137174 2225696 2630368 3616756 4274348 7233512 8548696 11754457 14467024 17097392 23508914 28934048 34194784 47017828 94035656 188071312 376142624