Search a number
-
+
45491120 = 245718009
BaseRepresentation
bin1010110110001…
…0001110110000
310011121012002022
42231202032300
543121203440
64303011012
71061445113
oct255421660
9104535068
1045491120
1123751174
1213299a68
13956a02c
14608257a
153ed8cb5
hex2b623b0

45491120 has 40 divisors (see below), whose sum is σ = 107269920. Its totient is φ = 17937920.

The previous prime is 45491101. The next prime is 45491137. The reversal of 45491120 is 2119454.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 45491120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1676 + ... + 9684.

It is an arithmetic number, because the mean of its divisors is an integer number (2681748).

Almost surely, 245491120 is an apocalyptic number.

45491120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45491120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53634960).

45491120 is an abundant number, since it is smaller than the sum of its proper divisors (61778800).

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

45491120 is a wasteful number, since it uses less digits than its factorization.

45491120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 45491120 is about 6744.7105201039. The cubic root of 45491120 is about 356.9786228494.

The spelling of 45491120 in words is "forty-five million, four hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 8009 16018 32036 40045 64072 80090 128144 160180 320360 568639 640720 1137278 2274556 2843195 4549112 5686390 9098224 11372780 22745560 45491120