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45465096 = 23331531153
BaseRepresentation
bin1010110101101…
…1111000001000
310011112212101110
42231123320020
543114340341
64302250320
71061306205
oct255337010
9104485343
1045465096
1123733666
12132869a0
13955b231
146076cac
153ed1216
hex2b5be08

45465096 has 64 divisors (see below), whose sum is σ = 119646720. Its totient is φ = 14376960.

The previous prime is 45465083. The next prime is 45465097. The reversal of 45465096 is 69056454.

45465096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45465097) 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 15 ways as a sum of consecutive naturals, for example, 38856 + ... + 40008.

It is an arithmetic number, because the mean of its divisors is an integer number (1869480).

Almost surely, 245465096 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 45465096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59823360).

45465096 is an abundant number, since it is smaller than the sum of its proper divisors (74181624).

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

45465096 is a wasteful number, since it uses less digits than its factorization.

45465096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 45465096 is about 6742.7810286261. The cubic root of 45465096 is about 356.9105378857.

The spelling of 45465096 in words is "forty-five million, four hundred sixty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1153 1272 1643 2306 3286 3459 4612 4929 6572 6918 9224 9858 13144 13836 19716 27672 35743 39432 61109 71486 107229 122218 142972 183327 214458 244436 285944 366654 428916 488872 733308 857832 1466616 1894379 3788758 5683137 7577516 11366274 15155032 22732548 45465096