Search a number
-
+
45168592 = 2472173389
BaseRepresentation
bin1010110001001…
…1011111010000
310010222210122211
42230103133100
543030343332
64252041504
71055632600
oct254233720
9103883584
1045168592
1123550917
1213163294
1394862a1
145ddac00
153e73447
hex2b137d0

45168592 has 60 divisors (see below), whose sum is σ = 107822340. Its totient is φ = 18213888.

The previous prime is 45168589. The next prime is 45168611. The reversal of 45168592 is 29586154.

45168592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40398736 + 4769856 = 6356^2 + 2184^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11634 + ... + 15022.

It is an arithmetic number, because the mean of its divisors is an integer number (1797039).

Almost surely, 245168592 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 45168592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53911170).

45168592 is an abundant number, since it is smaller than the sum of its proper divisors (62653748).

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

45168592 is a wasteful number, since it uses less digits than its factorization.

45168592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3415 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 45168592 is about 6720.7582905503. The cubic root of 45168592 is about 356.1329722512.

The spelling of 45168592 in words is "forty-five million, one hundred sixty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 3389 6664 6778 13328 13556 23723 27112 47446 54224 57613 94892 115226 166061 189784 230452 332122 379568 403291 460904 664244 806582 921808 1328488 1613164 2656976 2823037 3226328 5646074 6452656 11292148 22584296 45168592