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45493188 = 223131931511
BaseRepresentation
bin1010110110001…
…0101111000100
310011121021220220
42231202233010
543121240223
64303024340
71061454126
oct255425704
9104537826
1045493188
1123752784
121329b0b0
13956ac60
146083216
153ed96e3
hex2b62bc4

45493188 has 48 divisors (see below), whose sum is σ = 114984576. Its totient is φ = 13916160.

The previous prime is 45493187. The next prime is 45493193. The reversal of 45493188 is 88139454.

45493188 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

45493188 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (45493187) 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 15 ways as a sum of consecutive naturals, for example, 29353 + ... + 30863.

It is an arithmetic number, because the mean of its divisors is an integer number (2395512).

Almost surely, 245493188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45493188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57492288).

45493188 is an abundant number, since it is smaller than the sum of its proper divisors (69491388).

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

45493188 is a wasteful number, since it uses less digits than its factorization.

45493188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1722 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 45493188 is about 6744.8638236809. The cubic root of 45493188 is about 356.9840321146.

The spelling of 45493188 in words is "forty-five million, four hundred ninety-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 772 1158 1511 2316 2509 3022 4533 5018 6044 7527 9066 10036 15054 18132 19643 30108 39286 58929 78572 117858 235716 291623 583246 874869 1166492 1749738 3499476 3791099 7582198 11373297 15164396 22746594 45493188