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56040900 = 22352367509
BaseRepresentation
bin1101010111000…
…1110111000100
310220110011122220
43111301313010
5103321302100
65321052340
71250224356
oct325616704
9126404586
1056040900
11296a73a3
12169270b0
13b7c1bc6
14762b0d6
154dbeaa0
hex3571dc4

56040900 has 72 divisors (see below), whose sum is σ = 162906240. Its totient is φ = 14874240.

The previous prime is 56040893. The next prime is 56040913. The reversal of 56040900 is 904065.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109846 + ... + 110354.

Almost surely, 256040900 is an apocalyptic number.

56040900 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 56040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81453120).

56040900 is an abundant number, since it is smaller than the sum of its proper divisors (106865340).

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

56040900 is a wasteful number, since it uses less digits than its factorization.

56040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56040900 is about 7486.0470209584. The cubic root of 56040900 is about 382.6793554184.

Adding to 56040900 its reverse (904065), we get a palindrome (56944965).

The spelling of 56040900 in words is "fifty-six million, forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 509 734 1018 1101 1468 1527 1835 2036 2202 2545 3054 3670 4404 5090 5505 6108 7340 7635 9175 10180 11010 12725 15270 18350 22020 25450 27525 30540 36700 38175 50900 55050 76350 110100 152700 186803 373606 560409 747212 934015 1120818 1868030 2241636 2802045 3736060 4670075 5604090 9340150 11208180 14010225 18680300 28020450 56040900