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490929440 = 25510972797
BaseRepresentation
bin11101010000101…
…111110100100000
31021012202210120212
4131100233310200
52001134220230
6120414153252
715110555111
oct3520576440
91235683525
10490929440
11232131611
121184b2828
137a92a5c1
14492b4208
152d175895
hex1d42fd20

490929440 has 48 divisors (see below), whose sum is σ = 1161293112. Its totient is φ = 196122624.

The previous prime is 490929433. The next prime is 490929493. The reversal of 490929440 is 44929094.

It can be written as a sum of positive squares in 4 ways, for example, as 397922704 + 93006736 = 19948^2 + 9644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174122 + ... + 176918.

Almost surely, 2490929440 is an apocalyptic number.

490929440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490929440 is an abundant number, since it is smaller than the sum of its proper divisors (670363672).

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

490929440 is a wasteful number, since it uses less digits than its factorization.

490929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 490929440 is about 22156.9275848435. The cubic root of 490929440 is about 788.8716680614.

The spelling of 490929440 in words is "four hundred ninety million, nine hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1097 2194 2797 4388 5485 5594 8776 10970 11188 13985 17552 21940 22376 27970 35104 43880 44752 55940 87760 89504 111880 175520 223760 447520 3068309 6136618 12273236 15341545 24546472 30683090 49092944 61366180 98185888 122732360 245464720 490929440