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56461400 = 2352282307
BaseRepresentation
bin1101011101100…
…0100001011000
310221020112110222
43113120201120
5103423231100
65334055212
71253625332
oct327304130
9127215428
1056461400
1129964316
1216aaa508
13b90b418
1476da452
154e54485
hex35d8858

56461400 has 24 divisors (see below), whose sum is σ = 131273220. Its totient is φ = 22584480.

The previous prime is 56461397. The next prime is 56461409. The reversal of 56461400 is 416465.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56461400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56461409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140954 + ... + 141353.

Almost surely, 256461400 is an apocalyptic number.

56461400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56461400 is an abundant number, since it is smaller than the sum of its proper divisors (74811820).

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

56461400 is a wasteful number, since it uses less digits than its factorization.

56461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282323 (or 282314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56461400 is about 7514.0801166876. The cubic root of 56461400 is about 383.6341096647.

Adding to 56461400 its reverse (416465), we get a palindrome (56877865).

The spelling of 56461400 in words is "fifty-six million, four hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 282307 564614 1129228 1411535 2258456 2823070 5646140 7057675 11292280 14115350 28230700 56461400