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45664332 = 22371793037
BaseRepresentation
bin1010111000110…
…0100001001100
310011220222200120
42232030201030
543142224312
64310424540
71063066110
oct256144114
9104828616
1045664332
112385a31a
1213362150
1395cab1c
1460c9740
15402028c
hex2b8c84c

45664332 has 48 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 12969792.

The previous prime is 45664303. The next prime is 45664337. The reversal of 45664332 is 23346654.

It is a junction number, because it is equal to n+sod(n) for n = 45664293 and 45664302.

It is not an unprimeable number, because it can be changed into a prime (45664337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13518 + ... + 16554.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 245664332 is an apocalyptic number.

45664332 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 45664332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

45664332 is an abundant number, since it is smaller than the sum of its proper divisors (76827828).

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

45664332 is a wasteful number, since it uses less digits than its factorization.

45664332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3228 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 45664332 is about 6757.5389011089. The cubic root of 45664332 is about 357.4311263151.

The spelling of 45664332 in words is "forty-five million, six hundred sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 537 716 1074 1253 2148 2506 3037 3759 5012 6074 7518 9111 12148 15036 18222 21259 36444 42518 63777 85036 127554 255108 543623 1087246 1630869 2174492 3261738 3805361 6523476 7610722 11416083 15221444 22832166 45664332