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45328848 = 2433725523
BaseRepresentation
bin1010110011101…
…0100111010000
310011021221111020
42230322213100
543101010343
64255315440
71060201035
oct254724720
9104257436
1045328848
1123650264
121321bb80
139511206
14603d38c
153ea5b83
hex2b3a9d0

45328848 has 40 divisors (see below), whose sum is σ = 120269088. Its totient is φ = 14700672.

The previous prime is 45328847. The next prime is 45328897. The reversal of 45328848 is 84882354.

It is a happy number.

45328848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×453288482 = 4109408922014208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45328847) 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, 10986 + ... + 14537.

Almost surely, 245328848 is an apocalyptic number.

45328848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45328848 is an abundant number, since it is smaller than the sum of its proper divisors (74940240).

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

45328848 is a wasteful number, since it uses less digits than its factorization.

45328848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25571 (or 25565 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 45328848 is about 6732.6701983685. The cubic root of 45328848 is about 356.5536560275.

The spelling of 45328848 in words is "forty-five million, three hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 25523 51046 76569 102092 153138 204184 306276 408368 612552 944351 1225104 1888702 2833053 3777404 5666106 7554808 11332212 15109616 22664424 45328848