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461393480 = 23529397753
BaseRepresentation
bin11011100000000…
…100111001001000
31012011012012212102
4123200010321020
51421104042410
6113441132532
714301531332
oct3340047110
91164165772
10461393480
11217498829
1210a62a148
13747888c2
14453c6452
152a78e2a5
hex1b804e48

461393480 has 32 divisors (see below), whose sum is σ = 1073935800. Its totient is φ = 178192896.

The previous prime is 461393477. The next prime is 461393497. The reversal of 461393480 is 84393164.

It can be written as a sum of positive squares in 4 ways, for example, as 448677124 + 12716356 = 21182^2 + 3566^2 .

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 7 ways as a sum of consecutive naturals, for example, 197717 + ... + 200036.

Almost surely, 2461393480 is an apocalyptic number.

461393480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461393480 is an abundant number, since it is smaller than the sum of its proper divisors (612542320).

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

461393480 is a wasteful number, since it uses less digits than its factorization.

461393480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397793 (or 397789 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 461393480 is about 21480.0716944800. The cubic root of 461393480 is about 772.7229618633.

The spelling of 461393480 in words is "four hundred sixty-one million, three hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 397753 795506 1591012 1988765 3182024 3977530 7955060 11534837 15910120 23069674 46139348 57674185 92278696 115348370 230696740 461393480