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399305952 = 25321386479
BaseRepresentation
bin10111110011001…
…110110011100000
31000211100211210100
4113303032303200
51304210242302
6103342302400
712616021203
oct2763166340
91024324710
10399305952
11195441521
12b1887a00
136495a716
143b06393a
15250c7d1c
hex17ccece0

399305952 has 36 divisors (see below), whose sum is σ = 1135527120. Its totient is φ = 133101888.

The previous prime is 399305941. The next prime is 399305969. The reversal of 399305952 is 259503993.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 399305898 and 399305907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 692952 + ... + 693527.

It is an arithmetic number, because the mean of its divisors is an integer number (31542420).

Almost surely, 2399305952 is an apocalyptic number.

399305952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

399305952 is an abundant number, since it is smaller than the sum of its proper divisors (736221168).

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

399305952 is a wasteful number, since it uses less digits than its factorization.

399305952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386495 (or 1386484 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The square root of 399305952 is about 19982.6412668596. The cubic root of 399305952 is about 736.3799039013.

The spelling of 399305952 in words is "three hundred ninety-nine million, three hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1386479 2772958 4159437 5545916 8318874 11091832 12478311 16637748 22183664 24956622 33275496 44367328 49913244 66550992 99826488 133101984 199652976 399305952