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399125376 = 27321329919
BaseRepresentation
bin10111110010100…
…010101110000000
31000211000200002100
4113302202232000
51304134003001
6103334350400
712614336556
oct2762425600
91024020070
10399125376
11195328891
12b17bb400
13648c6480
143b017bd6
152508e586
hex17ca2b80

399125376 has 192 divisors, whose sum is σ = 1280916000. Its totient is φ = 118444032.

The previous prime is 399125339. The next prime is 399125387. The reversal of 399125376 is 673521993.

399125376 is a `hidden beast` number, since 399 + 1 + 253 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433845 + ... + 434763.

Almost surely, 2399125376 is an apocalyptic number.

399125376 is a gapful number since it is divisible by the number (36) 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 399125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640458000).

399125376 is an abundant number, since it is smaller than the sum of its proper divisors (881790624).

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

399125376 is a wasteful number, since it uses less digits than its factorization.

399125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 966 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 399125376 is about 19978.1224343030. The cubic root of 399125376 is about 736.2688841128.

The spelling of 399125376 in words is "three hundred ninety-nine million, one hundred twenty-five thousand, three hundred seventy-six".