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45096696 = 23331032027
BaseRepresentation
bin1010110000000…
…1111011111000
310010212011001000
42230001323320
543021043241
64250325000
71055213151
oct254017370
9103764030
1045096696
11235018a7
1213129760
13945c648
145dbc928
153e5beb6
hex2b01ef8

45096696 has 64 divisors (see below), whose sum is σ = 126547200. Its totient is φ = 14878944.

The previous prime is 45096691. The next prime is 45096707. The reversal of 45096696 is 69669054.

45096696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45096691) 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, 21235 + ... + 23261.

It is an arithmetic number, because the mean of its divisors is an integer number (1977300).

Almost surely, 245096696 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 45096696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63273600).

45096696 is an abundant number, since it is smaller than the sum of its proper divisors (81450504).

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

45096696 is a wasteful number, since it uses less digits than its factorization.

45096696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 45096696 is about 6715.4073592002. The cubic root of 45096696 is about 355.9439165955.

The spelling of 45096696 in words is "forty-five million, ninety-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2027 2472 2781 3708 4054 5562 6081 7416 8108 11124 12162 16216 18243 22248 24324 36486 48648 54729 72972 109458 145944 208781 218916 417562 437832 626343 835124 1252686 1670248 1879029 2505372 3758058 5010744 5637087 7516116 11274174 15032232 22548348 45096696