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45096690 = 23519611297
BaseRepresentation
bin1010110000000…
…1111011110010
310010212011000210
42230001323302
543021043230
64250324550
71055213142
oct254017362
9103764023
1045096690
11235018a1
1213129756
13945c642
145dbc922
153e5beb0
hex2b01ef2

45096690 has 64 divisors (see below), whose sum is σ = 115885440. Its totient is φ = 11197440.

The previous prime is 45096683. The next prime is 45096691. The reversal of 45096690 is 9669054.

45096690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450966902 = 4067422897912200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34122 + ... + 35418.

It is an arithmetic number, because the mean of its divisors is an integer number (1810710).

Almost surely, 245096690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45096690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57942720).

45096690 is an abundant number, since it is smaller than the sum of its proper divisors (70788750).

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

45096690 is a wasteful number, since it uses less digits than its factorization.

45096690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 45096690 is about 6715.4069124663. The cubic root of 45096690 is about 355.9439008097.

The spelling of 45096690 in words is "forty-five million, ninety-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 285 305 366 570 610 915 1159 1297 1830 2318 2594 3477 3891 5795 6485 6954 7782 11590 12970 17385 19455 24643 34770 38910 49286 73929 79117 123215 147858 158234 237351 246430 369645 395585 474702 739290 791170 1186755 1503223 2373510 3006446 4509669 7516115 9019338 15032230 22548345 45096690