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45091368 = 23327212781
BaseRepresentation
bin1010110000000…
…0101000101000
310010211212201200
42230000220220
543020410433
64250244200
71055161500
oct254005050
9103755650
1045091368
11234a88a3
1213126660
13945a0aa
145dbaa00
153e5a613
hex2b00a28

45091368 has 72 divisors (see below), whose sum is σ = 142071930. Its totient is φ = 12882240.

The previous prime is 45091367. The next prime is 45091369. The reversal of 45091368 is 86319054.

It is an interprime number because it is at equal distance from previous prime (45091367) and next prime (45091369).

It can be written as a sum of positive squares in only one way, i.e., 34082244 + 11009124 = 5838^2 + 3318^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×450913682 = 4066462936222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45091363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2863 + ... + 9918.

Almost surely, 245091368 is an apocalyptic number.

It is an amenable number.

45091368 is an abundant number, since it is smaller than the sum of its proper divisors (96980562).

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

45091368 is a wasteful number, since it uses less digits than its factorization.

45091368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12807 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45091368 is about 6715.0106477950. The cubic root of 45091368 is about 355.9298982450.

The spelling of 45091368 in words is "forty-five million, ninety-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 12781 25562 38343 51124 76686 89467 102248 115029 153372 178934 230058 268401 306744 357868 460116 536802 626269 715736 805203 920232 1073604 1252538 1610406 1878807 2147208 2505076 3220812 3757614 5010152 5636421 6441624 7515228 11272842 15030456 22545684 45091368