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45428480 = 28535491
BaseRepresentation
bin1010110101001…
…0111100000000
310011111000011022
42231102330000
543112202410
64301405012
71061064356
oct255227400
9104430138
1045428480
11237090a9
1213269768
139547676
1460677d6
153ec5455
hex2b52f00

45428480 has 36 divisors (see below), whose sum is σ = 108818472. Its totient is φ = 18170880.

The previous prime is 45428477. The next prime is 45428483. The reversal of 45428480 is 8482454.

It is an interprime number because it is at equal distance from previous prime (45428477) and next prime (45428483).

It is a super-2 number, since 2×454284802 = 4127493590220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45428480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45428483) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 16466 + ... + 19025.

Almost surely, 245428480 is an apocalyptic number.

45428480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45428480 is an abundant number, since it is smaller than the sum of its proper divisors (63389992).

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

45428480 is an equidigital number, since it uses as much as digits as its factorization.

45428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35512 (or 35498 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 45428480 is about 6740.0652815830. The cubic root of 45428480 is about 356.8146977262.

The spelling of 45428480 in words is "forty-five million, four hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 35491 70982 141964 177455 283928 354910 567856 709820 1135712 1419640 2271424 2839280 4542848 5678560 9085696 11357120 22714240 45428480