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55262600 = 2352475879
BaseRepresentation
bin1101001011001…
…1110110001000
310211222122000222
43102303312020
5103121400400
65252245212
71240503311
oct322636610
9124878028
1055262600
1129215678
1216610808
13b5ab883
1474a7608
154cb9185
hex34b3d88

55262600 has 48 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 21631040.

The previous prime is 55262593. The next prime is 55262617. The reversal of 55262600 is 626255.

It is a happy number.

55262600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55262600.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6461 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 255262600 is an apocalyptic number.

55262600 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 55262600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

55262600 is an abundant number, since it is smaller than the sum of its proper divisors (75979000).

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

55262600 is a wasteful number, since it uses less digits than its factorization.

55262600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 55262600 is about 7433.8818930623. The cubic root of 55262600 is about 380.8995310117.

Adding to 55262600 its reverse (626255), we get a palindrome (55888855).

The spelling of 55262600 in words is "fifty-five million, two hundred sixty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 5879 9400 11758 23516 29395 47032 58790 117580 146975 235160 276313 293950 552626 587900 1105252 1175800 1381565 2210504 2763130 5526260 6907825 11052520 13815650 27631300 55262600