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45126864 = 2432313381
BaseRepresentation
bin1010110000100…
…1010011010000
310010220200102100
42230021103100
543023024424
64251120400
71055400126
oct254112320
9103820370
1045126864
1123522532
1213143100
1394702b3
145dc9916
153e65dc9
hex2b094d0

45126864 has 30 divisors (see below), whose sum is σ = 126292946. Its totient is φ = 15042240.

The previous prime is 45126859. The next prime is 45126869. The reversal of 45126864 is 46862154.

45126864 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (45126859) and next prime (45126869).

It can be written as a sum of positive squares in only one way, i.e., 44997264 + 129600 = 6708^2 + 360^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45126869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156547 + ... + 156834.

Almost surely, 245126864 is an apocalyptic number.

It is an amenable number.

45126864 is an abundant number, since it is smaller than the sum of its proper divisors (81166082).

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

45126864 is a wasteful number, since it uses less digits than its factorization.

45126864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313395 (or 313386 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45126864 is about 6717.6531616332. The cubic root of 45126864 is about 356.0232699514.

The spelling of 45126864 in words is "forty-five million, one hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313381 626762 940143 1253524 1880286 2507048 2820429 3760572 5014096 5640858 7521144 11281716 15042288 22563432 45126864