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45356892 = 2237896067
BaseRepresentation
bin1010110100000…
…1011101011100
310011100100221220
42231001131130
543102410032
64300053340
71060345560
oct255013534
9104310856
1045356892
112366a339
1213234250
139520bc9
1460496a0
153eae12c
hex2b4175c

45356892 has 48 divisors (see below), whose sum is σ = 122330880. Its totient is φ = 12811392.

The previous prime is 45356891. The next prime is 45356921. The reversal of 45356892 is 29865354.

45356892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45356891) 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, 4443 + ... + 10509.

It is an arithmetic number, because the mean of its divisors is an integer number (2548560).

Almost surely, 245356892 is an apocalyptic number.

45356892 is a gapful number since it is divisible by the number (42) 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 45356892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61165440).

45356892 is an abundant number, since it is smaller than the sum of its proper divisors (76973988).

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

45356892 is a wasteful number, since it uses less digits than its factorization.

45356892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6168 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 45356892 is about 6734.7525567017. The cubic root of 45356892 is about 356.6271716052.

The spelling of 45356892 in words is "forty-five million, three hundred fifty-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 6067 7476 12134 18201 24268 36402 42469 72804 84938 127407 169876 254814 509628 539963 1079926 1619889 2159852 3239778 3779741 6479556 7559482 11339223 15118964 22678446 45356892