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45478480 = 245568481
BaseRepresentation
bin1010110101111…
…1001001010000
310011120112202011
42231133021100
543120302410
64302432304
71061363215
oct255371120
9104515664
1045478480
1123742723
1213292694
139564358
14607bb0c
153ed518a
hex2b5f250

45478480 has 20 divisors (see below), whose sum is σ = 105737652. Its totient is φ = 18191360.

The previous prime is 45478427. The next prime is 45478481. The reversal of 45478480 is 8487454.

45478480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 15272464 = 5496^2 + 3908^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×454784802 = 4136584286220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45478481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284161 + ... + 284320.

Almost surely, 245478480 is an apocalyptic number.

45478480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45478480 is an abundant number, since it is smaller than the sum of its proper divisors (60259172).

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

45478480 is a wasteful number, since it uses less digits than its factorization.

45478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568494 (or 568488 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 45478480 is about 6743.7734244264. The cubic root of 45478480 is about 356.9455568519.

The spelling of 45478480 in words is "forty-five million, four hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 568481 1136962 2273924 2842405 4547848 5684810 9095696 11369620 22739240 45478480