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43920640 = 28534313
BaseRepresentation
bin1010011110001…
…0110100000000
310001122101210101
42213202310000
542220430030
64205212144
71042214341
oct247426400
9101571711
1043920640
1122879255
1212861054
13913a25a
145b940c8
153cc87ca
hex29e2d00

43920640 has 36 divisors (see below), whose sum is σ = 105206724. Its totient is φ = 17567744.

The previous prime is 43920637. The next prime is 43920649. The reversal of 43920640 is 4602934.

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 29419776 = 3808^2 + 5424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 43920599 and 43920608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43920649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15877 + ... + 18436.

It is an arithmetic number, because the mean of its divisors is an integer number (2922409).

Almost surely, 243920640 is an apocalyptic number.

43920640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43920640 is an abundant number, since it is smaller than the sum of its proper divisors (61286084).

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

43920640 is an equidigital number, since it uses as much as digits as its factorization.

43920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34334 (or 34320 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 43920640 is about 6627.2648958677. The cubic root of 43920640 is about 352.8224569769.

The spelling of 43920640 in words is "forty-three million, nine hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 34313 68626 137252 171565 274504 343130 549008 686260 1098016 1372520 2196032 2745040 4392064 5490080 8784128 10980160 21960320 43920640