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56400300 = 22355211211
BaseRepresentation
bin1101011100100…
…1100110101100
310221010102200000
43113021212230
5103414302200
65332504300
71253252235
oct327114654
9127112600
1056400300
1129922420
1216a7b090
13b8b9678
1476c208c
154e41300
hex35c99ac

56400300 has 216 divisors, whose sum is σ = 200945472. Its totient is φ = 13608000.

The previous prime is 56400287. The next prime is 56400317. The reversal of 56400300 is 300465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267195 + ... + 267405.

Almost surely, 256400300 is an apocalyptic number.

56400300 is a gapful number since it is divisible by the number (50) 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 56400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100472736).

56400300 is an abundant number, since it is smaller than the sum of its proper divisors (144545172).

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

56400300 is a wasteful number, since it uses less digits than its factorization.

56400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 56400300 is about 7510.0133155674. The cubic root of 56400300 is about 383.4956758294.

Adding to 56400300 its reverse (300465), we get a palindrome (56700765).

The spelling of 56400300 in words is "fifty-six million, four hundred thousand, three hundred".