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392431104 = 2932136551
BaseRepresentation
bin10111011001000…
…000011000000000
31000100102120021100
4113121000120000
51300430243404
6102535054400
712503416002
oct2731003000
91010376240
10392431104
1119157632a
12ab511400
13633c1470
143a194372
15246bad39
hex17640600

392431104 has 120 divisors (see below), whose sum is σ = 1219890672. Its totient is φ = 120729600.

The previous prime is 392431099. The next prime is 392431147. The reversal of 392431104 is 401134293.

It is a congruent number.

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, 56629 + ... + 63179.

Almost surely, 2392431104 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 392431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609945336).

392431104 is an abundant number, since it is smaller than the sum of its proper divisors (827459568).

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

392431104 is a wasteful number, since it uses less digits than its factorization.

392431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 392431104 is about 19809.8739016683. The cubic root of 392431104 is about 732.1293330554.

Adding to 392431104 its reverse (401134293), we get a palindrome (793565397).

The spelling of 392431104 in words is "three hundred ninety-two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6551 6656 7488 9984 13102 14976 19653 19968 26204 29952 39306 52408 58959 59904 78612 85163 104816 117918 157224 170326 209632 235836 255489 314448 340652 419264 471672 510978 628896 681304 766467 838528 943344 1021956 1257792 1362608 1532934 1677056 1886688 2043912 2515584 2725216 3065868 3354112 3773376 4087824 5031168 5450432 6131736 7546752 8175648 10062336 10900864 12263472 15093504 16351296 21801728 24526944 30187008 32702592 43603456 49053888 65405184 98107776 130810368 196215552 392431104