Search a number
-
+
379975872 = 26312715583
BaseRepresentation
bin10110101001011…
…111100011000000
3222110222202220110
4112221133203000
51234233211442
6101412111320
712262512243
oct2651374300
9873882813
10379975872
11185539551
12a7305540
13609501c3
143867125a
152355a69c
hex16a5f8c0

379975872 has 56 divisors (see below), whose sum is σ = 1013334016. Its totient is φ = 125653248.

The previous prime is 379975867. The next prime is 379975879. The reversal of 379975872 is 278579973.

It is not an unprimeable number, because it can be changed into a prime (379975879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16593 + ... + 32175.

Almost surely, 2379975872 is an apocalyptic number.

379975872 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 379975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506667008).

379975872 is an abundant number, since it is smaller than the sum of its proper divisors (633358144).

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

379975872 is a wasteful number, since it uses less digits than its factorization.

379975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725 (or 15715 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 57.

The square root of 379975872 is about 19492.9698096519. The cubic root of 379975872 is about 724.3003139426.

The spelling of 379975872 in words is "three hundred seventy-nine million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 8128 12192 15583 24384 31166 46749 62332 93498 124664 186996 249328 373992 498656 747984 997312 1495968 1979041 2991936 3958082 5937123 7916164 11874246 15832328 23748492 31664656 47496984 63329312 94993968 126658624 189987936 379975872