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61458440 = 23511313597
BaseRepresentation
bin1110101001110…
…0100000001000
311021122102010112
43222130200020
5111213132230
610033133452
71344250061
oct352344010
9137572115
1061458440
11317676aa
12186ba288
13c96aa54
14823b568
1555ded95
hex3a9c808

61458440 has 32 divisors (see below), whose sum is σ = 139515480. Its totient is φ = 24364032.

The previous prime is 61458437. The next prime is 61458473. The reversal of 61458440 is 4485416.

It can be written as a sum of positive squares in 4 ways, for example, as 16273156 + 45185284 = 4034^2 + 6722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61458397 and 61458406.

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, 2279 + ... + 11318.

Almost surely, 261458440 is an apocalyptic number.

It is an amenable number.

61458440 is an abundant number, since it is smaller than the sum of its proper divisors (78057040).

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

61458440 is a wasteful number, since it uses less digits than its factorization.

61458440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13721 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 61458440 is about 7839.5433540481. The cubic root of 61458440 is about 394.6334044638.

The spelling of 61458440 in words is "sixty-one million, four hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 13597 27194 54388 67985 108776 135970 271940 543880 1536461 3072922 6145844 7682305 12291688 15364610 30729220 61458440