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55722400 = 255269653
BaseRepresentation
bin1101010010010…
…0000110100000
310212211222202121
43110210012200
5103231104100
65310154024
71244426656
oct324440640
9125758677
1055722400
11294aa078
12167b2914
13b70cc46
147586dd6
154d5a51a
hex35241a0

55722400 has 36 divisors (see below), whose sum is σ = 136034262. Its totient is φ = 22288640.

The previous prime is 55722361. The next prime is 55722409. The reversal of 55722400 is 422755.

It can be written as a sum of positive squares in 3 ways, for example, as 52940176 + 2782224 = 7276^2 + 1668^2 .

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

It is not an unprimeable number, because it can be changed into a prime (55722409) 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, 34027 + ... + 35626.

Almost surely, 255722400 is an apocalyptic number.

55722400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55722400 is an abundant number, since it is smaller than the sum of its proper divisors (80311862).

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

55722400 is a wasteful number, since it uses less digits than its factorization.

55722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69673 (or 69660 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 55722400 is about 7464.7438000242. The cubic root of 55722400 is about 381.9530108590.

The spelling of 55722400 in words is "fifty-five million, seven hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 69653 139306 278612 348265 557224 696530 1114448 1393060 1741325 2228896 2786120 3482650 5572240 6965300 11144480 13930600 27861200 55722400