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55359600 = 2435246133
BaseRepresentation
bin1101001100101…
…1100001110000
310212011120002120
43103023201300
5103133001400
65254314240
71241356152
oct323134160
9125146076
1055359600
112928153a
1216658980
13b613a7a
1474d0ad2
154cd7ca0
hex34cb870

55359600 has 60 divisors (see below), whose sum is σ = 177339096. Its totient is φ = 14762240.

The previous prime is 55359593. The next prime is 55359617. The reversal of 55359600 is 695355.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21867 + ... + 24266.

Almost surely, 255359600 is an apocalyptic number.

55359600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55359600 is an abundant number, since it is smaller than the sum of its proper divisors (121979496).

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

55359600 is a wasteful number, since it uses less digits than its factorization.

55359600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46154 (or 46143 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 55359600 is about 7440.4032148802. The cubic root of 55359600 is about 381.1222594529.

The spelling of 55359600 in words is "fifty-five million, three hundred fifty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 46133 92266 138399 184532 230665 276798 369064 461330 553596 691995 738128 922660 1107192 1153325 1383990 1845320 2214384 2306650 2767980 3459975 3690640 4613300 5535960 6919950 9226600 11071920 13839900 18453200 27679800 55359600