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45260480 = 265141439
BaseRepresentation
bin1010110010100…
…1111011000000
310011011110201002
42230221323000
543041313410
64254031132
71056464516
oct254517300
9104143632
1045260480
1123603961
12131a84a8
1394b9065
1460224b6
153e907a5
hex2b29ec0

45260480 has 28 divisors (see below), whose sum is σ = 107777280. Its totient is φ = 18104064.

The previous prime is 45260437. The next prime is 45260513. The reversal of 45260480 is 8406254.

It is a super-2 number, since 2×452604802 = 4097022099660800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70400 + ... + 71039.

Almost surely, 245260480 is an apocalyptic number.

45260480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45260480 is an abundant number, since it is smaller than the sum of its proper divisors (62516800).

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

45260480 is a wasteful number, since it uses less digits than its factorization.

45260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141456 (or 141446 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 45260480 is about 6727.5909507044. The cubic root of 45260480 is about 356.3743064719.

The spelling of 45260480 in words is "forty-five million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 141439 282878 565756 707195 1131512 1414390 2263024 2828780 4526048 5657560 9052096 11315120 22630240 45260480