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492314112 = 29361319
BaseRepresentation
bin11101010110000…
…001111000000000
31021022101011000000
4131112001320000
52002013022422
6120504000000
715125413053
oct3526017000
91238334000
10492314112
11232997974
12118a60000
137acc3934
1449554a9a
152d34acac
hex1d581e00

492314112 has 140 divisors (see below), whose sum is σ = 1475943480. Its totient is φ = 163980288.

The previous prime is 492314107. The next prime is 492314167. The reversal of 492314112 is 211413294.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 372589 + ... + 373907.

Almost surely, 2492314112 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 492314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737971740).

492314112 is an abundant number, since it is smaller than the sum of its proper divisors (983629368).

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

492314112 is an frugal number, since it uses more digits than its factorization.

492314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1324 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 492314112 is about 22188.1525143487. The cubic root of 492314112 is about 789.6126456526.

The spelling of 492314112 in words is "four hundred ninety-two million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1319 1458 1536 1728 1944 2304 2592 2638 2916 3456 3888 3957 4608 5184 5276 5832 6912 7776 7914 10368 10552 11664 11871 13824 15552 15828 20736 21104 23328 23742 31104 31656 35613 41472 42208 46656 47484 62208 63312 71226 84416 93312 94968 106839 124416 126624 142452 168832 186624 189936 213678 253248 284904 320517 337664 373248 379872 427356 506496 569808 641034 675328 759744 854712 961551 1012992 1139616 1282068 1519488 1709424 1923102 2025984 2279232 2564136 3038976 3418848 3846204 4558464 5128272 6077952 6837696 7692408 9116928 10256544 13675392 15384816 18233856 20513088 27350784 30769632 41026176 54701568 61539264 82052352 123078528 164104704 246157056 492314112