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490312032 = 25372104233
BaseRepresentation
bin11101001110011…
…001000101100000
31021011121102122220
4131032121011200
52001004441112
6120353031040
715102404100
oct3516310540
91234542586
10490312032
1123184a761
12118255480
137a772582
1449193200
152d0a298c
hex1d399160

490312032 has 72 divisors (see below), whose sum is σ = 1497217176. Its totient is φ = 140087808.

The previous prime is 490311937. The next prime is 490312051. The reversal of 490312032 is 230213094.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 490311993 and 490312011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47413 + ... + 56820.

It is an arithmetic number, because the mean of its divisors is an integer number (20794683).

Almost surely, 2490312032 is an apocalyptic number.

490312032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

490312032 is an abundant number, since it is smaller than the sum of its proper divisors (1006905144).

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

490312032 is a wasteful number, since it uses less digits than its factorization.

490312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104260 (or 104245 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 490312032 is about 22142.9905839297. The cubic root of 490312032 is about 788.5408262196.

The spelling of 490312032 in words is "four hundred ninety million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 104233 208466 312699 416932 625398 729631 833864 1250796 1459262 1667728 2188893 2501592 2918524 3335456 4377786 5003184 5107417 5837048 8755572 10006368 10214834 11674096 15322251 17511144 20429668 23348192 30644502 35022288 40859336 61289004 70044576 81718672 122578008 163437344 245156016 490312032