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490089312 = 25332292477
BaseRepresentation
bin11101001101100…
…010101101100000
31021011012010011000
4131031202231200
52000430324222
6120344152000
715100455546
oct3515425540
91234163130
10490089312
11231708399
12118168600
137a6c509b
1449135d96
152d05b9ac
hex1d362b60

490089312 has 96 divisors (see below), whose sum is σ = 1436248800. Its totient is φ = 162584064.

The previous prime is 490089307. The next prime is 490089331. The reversal of 490089312 is 213980094.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196618 + ... + 199094.

It is an arithmetic number, because the mean of its divisors is an integer number (14960925).

Almost surely, 2490089312 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 490089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718124400).

490089312 is an abundant number, since it is smaller than the sum of its proper divisors (946159488).

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

490089312 is a wasteful number, since it uses less digits than its factorization.

490089312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 490089312 is about 22137.9608817072. The cubic root of 490089312 is about 788.4214121867.

The spelling of 490089312 in words is "four hundred ninety million, eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 229 288 432 458 687 864 916 1374 1832 2061 2477 2748 3664 4122 4954 5496 6183 7328 7431 8244 9908 10992 12366 14862 16488 19816 21984 22293 24732 29724 32976 39632 44586 49464 59448 65952 66879 79264 89172 98928 118896 133758 178344 197856 237792 267516 356688 535032 567233 713376 1070064 1134466 1701699 2140128 2268932 3403398 4537864 5105097 6806796 9075728 10210194 13613592 15315291 18151456 20420388 27227184 30630582 40840776 54454368 61261164 81681552 122522328 163363104 245044656 490089312