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55479864 = 23311239137
BaseRepresentation
bin1101001110100…
…0111000111000
310212101200001210
43103220320320
5103200323424
65301043120
71242366606
oct323507070
9125350053
1055479864
1129353930
12166b64a0
13b65672b
147522876
154d0d729
hex34e8e38

55479864 has 64 divisors (see below), whose sum is σ = 157904640. Its totient is φ = 16079360.

The previous prime is 55479859. The next prime is 55479869. The reversal of 55479864 is 46897455.

55479864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55479859) and next prime (55479869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55479869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504 + ... + 10640.

It is an arithmetic number, because the mean of its divisors is an integer number (2467260).

Almost surely, 255479864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55479864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78952320).

55479864 is an abundant number, since it is smaller than the sum of its proper divisors (102424776).

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

55479864 is a wasteful number, since it uses less digits than its factorization.

55479864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9176 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 55479864 is about 7448.4806504414. The cubic root of 55479864 is about 381.3980450217.

The spelling of 55479864 in words is "fifty-five million, four hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 9137 18274 27411 36548 54822 73096 100507 109644 201014 210151 219288 301521 402028 420302 603042 630453 804056 840604 1206084 1260906 1681208 2311661 2412168 2521812 4623322 5043624 6934983 9246644 13869966 18493288 27739932 55479864