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45326880 = 2532531477
BaseRepresentation
bin1010110011101…
…0001000100000
310011021211210100
42230322020200
543100430010
64255302400
71060162224
oct254721040
9104254710
1045326880
1123649835
121321aa00
139510351
14603c784
153ea52c0
hex2b3a220

45326880 has 72 divisors (see below), whose sum is σ = 154682892. Its totient is φ = 12086784.

The previous prime is 45326863. The next prime is 45326891. The reversal of 45326880 is 8862354.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 7056 = 6732^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14299 + ... + 17178.

Almost surely, 245326880 is an apocalyptic number.

45326880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45326880 is an abundant number, since it is smaller than the sum of its proper divisors (109356012).

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

45326880 is a wasteful number, since it uses less digits than its factorization.

45326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31498 (or 31487 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45326880 is about 6732.5240437744. The cubic root of 45326880 is about 356.5484959012.

The spelling of 45326880 in words is "forty-five million, three hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 31477 62954 94431 125908 157385 188862 251816 283293 314770 377724 472155 503632 566586 629540 755448 944310 1007264 1133172 1259080 1416465 1510896 1888620 2266344 2518160 2832930 3021792 3777240 4532688 5036320 5665860 7554480 9065376 11331720 15108960 22663440 45326880