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55823520 = 2535196121
BaseRepresentation
bin1101010011110…
…0110010100000
310220001010110210
43110330302200
5103242323040
65312254120
71245330534
oct324746240
9126033423
1055823520
1129569045
1216841340
13b746c8c
1475b1bc4
154d7a480
hex353cca0

55823520 has 96 divisors (see below), whose sum is σ = 185129280. Its totient is φ = 14100480.

The previous prime is 55823489. The next prime is 55823531. The reversal of 55823520 is 2532855.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6060 + ... + 12180.

It is an arithmetic number, because the mean of its divisors is an integer number (1928430).

Almost surely, 255823520 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 55823520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92564640).

55823520 is an abundant number, since it is smaller than the sum of its proper divisors (129305760).

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

55823520 is a wasteful number, since it uses less digits than its factorization.

55823520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 55823520 is about 7471.5139028178. The cubic root of 55823520 is about 382.1839158975.

The spelling of 55823520 in words is "fifty-five million, eight hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 6121 9120 12242 18363 24484 30605 36726 48968 61210 73452 91815 97936 116299 122420 146904 183630 195872 232598 244840 293808 348897 367260 465196 489680 581495 587616 697794 734520 930392 979360 1162990 1395588 1469040 1744485 1860784 2325980 2791176 2938080 3488970 3721568 4651960 5582352 6977940 9303920 11164704 13955880 18607840 27911760 55823520