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55957400 = 2352535279
BaseRepresentation
bin1101010101110…
…1011110011000
310220021221010022
43111131132120
5103311114100
65315210012
71246426052
oct325353630
9126257108
1055957400
112964a694
12168a6908
13b792bb5
1476088d2
154da4e85
hex355d798

55957400 has 48 divisors (see below), whose sum is σ = 132580800. Its totient is φ = 21956480.

The previous prime is 55957393. The next prime is 55957403. The reversal of 55957400 is 475955.

It is a super-2 number, since 2×559574002 = 6262461229520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55957403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7961 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 255957400 is an apocalyptic number.

55957400 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 55957400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290400).

55957400 is an abundant number, since it is smaller than the sum of its proper divisors (76623400).

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

55957400 is a wasteful number, since it uses less digits than its factorization.

55957400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 55957400 is about 7480.4678998041. The cubic root of 55957400 is about 382.4891990058.

The spelling of 55957400 in words is "fifty-five million, nine hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5279 5300 10558 10600 21116 26395 42232 52790 105580 131975 211160 263950 279787 527900 559574 1055800 1119148 1398935 2238296 2797870 5595740 6994675 11191480 13989350 27978700 55957400