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45109376 = 271327109
BaseRepresentation
bin1010110000010…
…1000010000000
310010212210102122
42230011002000
543022000001
64250503412
71055265134
oct254050200
9103783378
1045109376
1123510384
1213134b68
139465350
145dc33c4
153e60b1b
hex2b05080

45109376 has 32 divisors (see below), whose sum is σ = 96782700. Its totient is φ = 20818944.

The previous prime is 45109367. The next prime is 45109399. The reversal of 45109376 is 67390154.

It can be written as a sum of positive squares in 2 ways, for example, as 41267776 + 3841600 = 6424^2 + 1960^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×451093763 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11891 + ... + 15218.

Almost surely, 245109376 is an apocalyptic number.

It is an amenable number.

45109376 is an abundant number, since it is smaller than the sum of its proper divisors (51673324).

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

45109376 is a wasteful number, since it uses less digits than its factorization.

45109376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27136 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 45109376 is about 6716.3513904500. The cubic root of 45109376 is about 355.9772741458.

The spelling of 45109376 in words is "forty-five million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 27109 54218 108436 216872 352417 433744 704834 867488 1409668 1734976 2819336 3469952 5638672 11277344 22554688 45109376