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490737096 = 2333171071249
BaseRepresentation
bin11101010000000…
…000110111001000
31021012102000202000
4131100000313020
52001112041341
6120410111000
715106124253
oct3520006710
91235360660
10490737096
11232010053
1211841b460
137a890ba5
144926409a
152d1388b6
hex1d400dc8

490737096 has 128 divisors (see below), whose sum is σ = 1458000000. Its totient is φ = 152395776.

The previous prime is 490737089. The next prime is 490737097. The reversal of 490737096 is 690737094.

490737096 is a `hidden beast` number, since 490 + 7 + 3 + 70 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (490737097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 392280 + ... + 393528.

It is an arithmetic number, because the mean of its divisors is an integer number (11390625).

Almost surely, 2490737096 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 490737096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729000000).

490737096 is an abundant number, since it is smaller than the sum of its proper divisors (967262904).

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

490737096 is a wasteful number, since it uses less digits than its factorization.

490737096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 490737096 is about 22152.5866661210. The cubic root of 490737096 is about 788.7686291177.

It can be divided in two parts, 49073 and 7096, that added together give a square (56169 = 2372).

The spelling of 490737096 in words is "four hundred ninety million, seven hundred thirty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 107 108 136 153 204 214 216 306 321 408 428 459 612 642 856 918 963 1224 1249 1284 1819 1836 1926 2498 2568 2889 3638 3672 3747 3852 4996 5457 5778 7276 7494 7704 9992 10914 11241 11556 14552 14988 16371 21233 21828 22482 23112 29976 32742 33723 42466 43656 44964 49113 63699 65484 67446 84932 89928 98226 127398 130968 133643 134892 169864 191097 196452 254796 267286 269784 382194 392904 400929 509592 534572 573291 764388 801858 1069144 1146582 1202787 1528776 1603716 2271931 2293164 2405574 3207432 3608361 4543862 4586328 4811148 6815793 7216722 9087724 9622296 13631586 14433444 18175448 20447379 27263172 28866888 40894758 54526344 61342137 81789516 122684274 163579032 245368548 490737096