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45383360 = 2651112893
BaseRepresentation
bin1010110100011…
…1111011000000
310011101201021012
42231013323000
543104231420
64300420052
71060516001
oct255077300
9104351235
1045383360
1123688210
1213247628
13952cc79
1460551a8
153eb6dc5
hex2b47ec0

45383360 has 56 divisors (see below), whose sum is σ = 117902736. Its totient is φ = 16501760.

The previous prime is 45383339. The next prime is 45383363. The reversal of 45383360 is 6338354.

45383360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45383363) 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 7 ways as a sum of consecutive naturals, for example, 2927 + ... + 9966.

It is an arithmetic number, because the mean of its divisors is an integer number (2105406).

Almost surely, 245383360 is an apocalyptic number.

45383360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45383360 is an abundant number, since it is smaller than the sum of its proper divisors (72519376).

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

45383360 is a wasteful number, since it uses less digits than its factorization.

45383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 45383360 is about 6736.7173014755. The cubic root of 45383360 is about 356.6965280071.

The spelling of 45383360 in words is "forty-five million, three hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 12893 25786 51572 64465 103144 128930 141823 206288 257860 283646 412576 515720 567292 709115 825152 1031440 1134584 1418230 2062880 2269168 2836460 4125760 4538336 5672920 9076672 11345840 22691680 45383360