Search a number
-
+
45914680 = 2357163981
BaseRepresentation
bin1010111100100…
…1101000111000
310012101201002201
42233021220320
543223232210
64320035544
71065161020
oct257115070
9105351081
1045914680
1123a10419
1213462bb4
139687a66
146152a80
15406e53a
hex2bc9a38

45914680 has 32 divisors (see below), whose sum is σ = 118067040. Its totient is φ = 15742080.

The previous prime is 45914657. The next prime is 45914707. The reversal of 45914680 is 8641954.

It is a happy number.

45914680 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 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 7 ways as a sum of consecutive naturals, for example, 81711 + ... + 82270.

It is an arithmetic number, because the mean of its divisors is an integer number (3689595).

Almost surely, 245914680 is an apocalyptic number.

45914680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45914680 is an abundant number, since it is smaller than the sum of its proper divisors (72152360).

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

45914680 is a wasteful number, since it uses less digits than its factorization.

45914680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163999 (or 163995 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45914680 is about 6776.0371899806. The cubic root of 45914680 is about 358.0831241703.

The spelling of 45914680 in words is "forty-five million, nine hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 163981 327962 655924 819905 1147867 1311848 1639810 2295734 3279620 4591468 5739335 6559240 9182936 11478670 22957340 45914680