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45570640 = 245712113
BaseRepresentation
bin1010110111010…
…1101001010000
310011202020011111
42231311221100
543131230030
64304423104
71062226003
oct255655120
9104666144
1045570640
11237a5995
1213317a94
13959729b
1460a353a
15400262a
hex2b75a50

45570640 has 60 divisors (see below), whose sum is σ = 108416052. Its totient is φ = 17812480.

The previous prime is 45570617. The next prime is 45570647. The reversal of 45570640 is 4607554.

It is a happy number.

45570640 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 6533136 + 39037504 = 2556^2 + 6248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45570647) 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 11 ways as a sum of consecutive naturals, for example, 403224 + ... + 403336.

Almost surely, 245570640 is an apocalyptic number.

45570640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54208026).

45570640 is an abundant number, since it is smaller than the sum of its proper divisors (62845412).

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

45570640 is a wasteful number, since it uses less digits than its factorization.

45570640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 45570640 is about 6750.6029360347. The cubic root of 45570640 is about 357.1865052939.

The spelling of 45570640 in words is "forty-five million, five hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 113 142 226 284 355 452 565 568 710 904 1130 1136 1420 1808 2260 2840 4520 5041 5680 8023 9040 10082 16046 20164 25205 32092 40115 40328 50410 64184 80230 80656 100820 128368 160460 201640 320920 403280 569633 641840 1139266 2278532 2848165 4557064 5696330 9114128 11392660 22785320 45570640