Search a number
-
+
45426400 = 255256783
BaseRepresentation
bin1010110101001…
…0011011100000
310011110220022021
42231102123200
543112121100
64301351224
71061055325
oct255223340
9104426267
1045426400
1123707588
1213268514
139546736
146066b4c
153ec4a1a
hex2b526e0

45426400 has 36 divisors (see below), whose sum is σ = 110899152. Its totient is φ = 18170240.

The previous prime is 45426391. The next prime is 45426419. The reversal of 45426400 is 462454.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27592 + ... + 29191.

It is an arithmetic number, because the mean of its divisors is an integer number (3080532).

Almost surely, 245426400 is an apocalyptic number.

45426400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45426400 is an abundant number, since it is smaller than the sum of its proper divisors (65472752).

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

45426400 is a wasteful number, since it uses less digits than its factorization.

45426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56803 (or 56790 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 45426400 is about 6739.9109786406. The cubic root of 45426400 is about 356.8092519067.

Adding to 45426400 its reverse (462454), we get a palindrome (45888854).

The spelling of 45426400 in words is "forty-five million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 56783 113566 227132 283915 454264 567830 908528 1135660 1419575 1817056 2271320 2839150 4542640 5678300 9085280 11356600 22713200 45426400