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45786132 = 22327315861
BaseRepresentation
bin1010111010101…
…0010000010100
310012011011202200
42232222100110
543210124012
64313204500
71064114160
oct256522024
9105134680
1045786132
1123932887
1213400730
1396413b2
14611bca0
1540463dc
hex2baa414

45786132 has 72 divisors (see below), whose sum is σ = 136561152. Its totient is φ = 12657600.

The previous prime is 45786121. The next prime is 45786179. The reversal of 45786132 is 23168754.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4882 + ... + 10742.

Almost surely, 245786132 is an apocalyptic number.

45786132 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 45786132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68280576).

45786132 is an abundant number, since it is smaller than the sum of its proper divisors (90775020).

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

45786132 is a wasteful number, since it uses less digits than its factorization.

45786132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5904 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45786132 is about 6766.5450563785. The cubic root of 45786132 is about 357.7486349673.

The spelling of 45786132 in words is "forty-five million, seven hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 5861 7812 11722 17583 23444 35166 41027 52749 70332 82054 105498 123081 164108 181691 210996 246162 363382 369243 492324 545073 726764 738486 1090146 1271837 1476972 1635219 2180292 2543674 3270438 3815511 5087348 6540876 7631022 11446533 15262044 22893066 45786132