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392468104 = 237193471063
BaseRepresentation
bin10111011001001…
…001011010001000
31000100111110000201
4113121021122020
51300432434404
6102535541544
712503631610
oct2731113210
91010443021
10392468104
111915a1106
12ab52a8b4
1363405262
143a1a3a40
15246c6ca4
hex17649688

392468104 has 64 divisors (see below), whose sum is σ = 888652800. Its totient is φ = 158739264.

The previous prime is 392468101. The next prime is 392468117. The reversal of 392468104 is 401864293.

It is not an unprimeable number, because it can be changed into a prime (392468101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 368677 + ... + 369739.

It is an arithmetic number, because the mean of its divisors is an integer number (13885200).

Almost surely, 2392468104 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 392468104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444326400).

392468104 is an abundant number, since it is smaller than the sum of its proper divisors (496184696).

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

392468104 is a wasteful number, since it uses less digits than its factorization.

392468104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 392468104 is about 19810.8077573833. The cubic root of 392468104 is about 732.1523417090.

The spelling of 392468104 in words is "three hundred ninety-two million, four hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 347 532 694 1063 1064 1388 2126 2429 2776 4252 4858 6593 7441 8504 9716 13186 14882 19432 20197 26372 29764 40394 46151 52744 59528 80788 92302 141379 161576 184604 282758 368861 369208 565516 737722 1131032 1475444 2582027 2950888 5164054 7008359 10328108 14016718 20656216 28033436 49058513 56066872 98117026 196234052 392468104