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45618680 = 23510910463
BaseRepresentation
bin1010111000000…
…1010111111000
310011211200001202
42232001113320
543134244210
64305433332
71062516032
oct256012770
9104750052
1045618680
1123828a98
121333b848
1395b3103
1460b6c52
1540119a5
hex2b815f8

45618680 has 32 divisors (see below), whose sum is σ = 103593600. Its totient is φ = 18078336.

The previous prime is 45618673. The next prime is 45618689. The reversal of 45618680 is 8681654.

45618680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45618689) 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 7 ways as a sum of consecutive naturals, for example, 872 + ... + 9591.

It is an arithmetic number, because the mean of its divisors is an integer number (3237300).

Almost surely, 245618680 is an apocalyptic number.

45618680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45618680 is an abundant number, since it is smaller than the sum of its proper divisors (57974920).

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

45618680 is a wasteful number, since it uses less digits than its factorization.

45618680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 45618680 is about 6754.1601994623. The cubic root of 45618680 is about 357.3119750668.

The spelling of 45618680 in words is "forty-five million, six hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 10463 20926 41852 52315 83704 104630 209260 418520 1140467 2280934 4561868 5702335 9123736 11404670 22809340 45618680