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45994986 = 23323291277
BaseRepresentation
bin1010111101110…
…1001111101010
310012112210021000
42233131033222
543233314421
64321455430
71065644112
oct257351752
9105483230
1045994986
1123a65794
12134a1576
1396b548b
146174042
154088226
hex2bdd3ea

45994986 has 64 divisors (see below), whose sum is σ = 110419200. Its totient is φ = 14148288.

The previous prime is 45994981. The next prime is 45995011. The reversal of 45994986 is 68949954.

45994986 is a `hidden beast` number, since 4 + 599 + 49 + 8 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45994981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35380 + ... + 36656.

It is an arithmetic number, because the mean of its divisors is an integer number (1725300).

Almost surely, 245994986 is an apocalyptic number.

45994986 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45994986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55209600).

45994986 is an abundant number, since it is smaller than the sum of its proper divisors (64424214).

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

45994986 is a wasteful number, since it uses less digits than its factorization.

45994986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 45994986 is about 6781.9603360680. The cubic root of 45994986 is about 358.2917682213.

The spelling of 45994986 in words is "forty-five million, nine hundred ninety-four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 414 522 621 667 783 1242 1277 1334 1566 2001 2554 3831 4002 6003 7662 11493 12006 18009 22986 29371 34479 36018 37033 58742 68958 74066 88113 111099 176226 222198 264339 333297 528678 666594 793017 851759 999891 1586034 1703518 1999782 2555277 5110554 7665831 15331662 22997493 45994986