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392738868 = 2234371812
BaseRepresentation
bin10111011010001…
…011100000110100
31000101000012110000
4113122023200310
51301020120433
6102545431300
712506140164
oct2732134064
91011005400
10392738868
11191766585
12ab63b530
136349b582
143a2345a4
152472c113
hex1768b834

392738868 has 90 divisors (see below), whose sum is σ = 1060303398. Its totient is φ = 126671040.

The previous prime is 392738867. The next prime is 392738989. The reversal of 392738868 is 868837293.

It can be written as a sum of positive squares in 3 ways, for example, as 1411344 + 391327524 = 1188^2 + 19782^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392738861) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2169738 + ... + 2169918.

Almost surely, 2392738868 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 392738868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530151699).

392738868 is an abundant number, since it is smaller than the sum of its proper divisors (667564530).

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

392738868 is a wasteful number, since it uses less digits than its factorization.

392738868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 223 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 392738868 is about 19817.6403237116. The cubic root of 392738868 is about 732.3206737963.

The spelling of 392738868 in words is "three hundred ninety-two million, seven hundred thirty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 181 222 324 333 362 444 543 666 724 999 1086 1332 1629 1998 2172 2997 3258 3996 4887 5994 6516 6697 9774 11988 13394 14661 19548 20091 26788 29322 32761 40182 58644 60273 65522 80364 98283 120546 131044 180819 196566 241092 294849 361638 393132 542457 589698 723276 884547 1084914 1179396 1212157 1769094 2169828 2424314 2653641 3538188 3636471 4848628 5307282 7272942 10614564 10909413 14545884 21818826 32728239 43637652 65456478 98184717 130912956 196369434 392738868