Search a number
-
+
45233680 = 2451929759
BaseRepresentation
bin1010110010001…
…1011000010000
310011010002221111
42230203120100
543034434210
64253303104
71056323422
oct254433020
9104102844
1045233680
1123595808
1213194a94
1394a9abb
146016812
153e8788a
hex2b23610

45233680 has 40 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 17140608.

The previous prime is 45233659. The next prime is 45233689. The reversal of 45233680 is 8633254.

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

It is not an unprimeable number, because it can be changed into a prime (45233689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13360 + ... + 16399.

It is an arithmetic number, because the mean of its divisors is an integer number (2767680).

Almost surely, 245233680 is an apocalyptic number.

45233680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45233680 is an abundant number, since it is smaller than the sum of its proper divisors (65473520).

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

45233680 is a wasteful number, since it uses less digits than its factorization.

45233680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29791 (or 29785 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 45233680 is about 6725.5988580943. The cubic root of 45233680 is about 356.3039528423.

The spelling of 45233680 in words is "forty-five million, two hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 29759 59518 119036 148795 238072 297590 476144 565421 595180 1130842 1190360 2261684 2380720 2827105 4523368 5654210 9046736 11308420 22616840 45233680