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45811728 = 2432318137
BaseRepresentation
bin1010111011000…
…0100000010000
310012012110212200
42232300200100
543211433403
64313523200
71064251614
oct256604020
9105173780
1045811728
1123950036
1213413500
13964cc41
146127344
15404dca3
hex2bb0810

45811728 has 30 divisors (see below), whose sum is σ = 128209614. Its totient is φ = 15270528.

The previous prime is 45811721. The next prime is 45811741. The reversal of 45811728 is 82711854.

45811728 is a `hidden beast` number, since 4 + 581 + 1 + 72 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42614784 + 3196944 = 6528^2 + 1788^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45811692 and 45811701.

It is not an unprimeable number, because it can be changed into a prime (45811721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158925 + ... + 159212.

Almost surely, 245811728 is an apocalyptic number.

45811728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45811728 is an abundant number, since it is smaller than the sum of its proper divisors (82397886).

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

45811728 is a wasteful number, since it uses less digits than its factorization.

45811728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318151 (or 318142 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 45811728 is about 6768.4361561590. The cubic root of 45811728 is about 357.8152870870.

The spelling of 45811728 in words is "forty-five million, eight hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 318137 636274 954411 1272548 1908822 2545096 2863233 3817644 5090192 5726466 7635288 11452932 15270576 22905864 45811728