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45949104 = 2432615231
BaseRepresentation
bin1010111101001…
…0000010110000
310012110110022200
42233102002300
543230332404
64320503200
71065363255
oct257220260
9105413280
1045949104
1123a34273
121347ab00
13969a626
14616142c
154079839
hex2bd20b0

45949104 has 60 divisors (see below), whose sum is σ = 130726752. Its totient is φ = 15062400.

The previous prime is 45949103. The next prime is 45949109. The reversal of 45949104 is 40194954.

It is a happy number.

It is a super-2 number, since 2×459491042 = 4222640316805632, 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 (45949103) 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 11 ways as a sum of consecutive naturals, for example, 6169 + ... + 11399.

Almost surely, 245949104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45949104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65363376).

45949104 is an abundant number, since it is smaller than the sum of its proper divisors (84777648).

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

45949104 is a wasteful number, since it uses less digits than its factorization.

45949104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5297 counting only the distinct ones).

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

The square root of 45949104 is about 6778.5768417862. The cubic root of 45949104 is about 358.1725913745.

The spelling of 45949104 in words is "forty-five million, nine hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 5231 8784 10462 15693 20924 31386 41848 47079 62772 83696 94158 125544 188316 251088 319091 376632 638182 753264 957273 1276364 1914546 2552728 2871819 3829092 5105456 5743638 7658184 11487276 15316368 22974552 45949104