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55349520 = 24352111093
BaseRepresentation
bin1101001100100…
…1000100010000
310212011001021020
43103021010100
5103132141040
65254155440
71241314602
oct323110420
9125131236
1055349520
1129274a06
1216652b80
13b60c2c5
1474cb172
154cd4cd0
hex34c9110

55349520 has 80 divisors (see below), whose sum is σ = 172554432. Its totient is φ = 14676480.

The previous prime is 55349519. The next prime is 55349531. The reversal of 55349520 is 2594355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50094 + ... + 51186.

Almost surely, 255349520 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 55349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86277216).

55349520 is an abundant number, since it is smaller than the sum of its proper divisors (117204912).

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

55349520 is a wasteful number, since it uses less digits than its factorization.

55349520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 55349520 is about 7439.7258013989. The cubic root of 55349520 is about 381.0991261838.

The spelling of 55349520 in words is "fifty-five million, three hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1093 1266 1688 2110 2186 2532 3165 3279 3376 4220 4372 5064 5465 6330 6558 8440 8744 10128 10930 12660 13116 16395 16880 17488 21860 25320 26232 32790 43720 50640 52464 65580 87440 131160 230623 262320 461246 691869 922492 1153115 1383738 1844984 2306230 2767476 3459345 3689968 4612460 5534952 6918690 9224920 11069904 13837380 18449840 27674760 55349520