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55363800 = 23352531741
BaseRepresentation
bin1101001100110…
…0100011011000
310212011202212010
43103030203120
5103133120200
65254345520
71241404332
oct323144330
9125152763
1055363800
1129284708
121665b2a0
13b61595b
1474d2452
154cd9150
hex34cc8d8

55363800 has 96 divisors (see below), whose sum is σ = 174966480. Its totient is φ = 14476800.

The previous prime is 55363751. The next prime is 55363801. The reversal of 55363800 is 836355.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55363801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30930 + ... + 32670.

Almost surely, 255363800 is an apocalyptic number.

55363800 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 55363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87483240).

55363800 is an abundant number, since it is smaller than the sum of its proper divisors (119602680).

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

55363800 is a wasteful number, since it uses less digits than its factorization.

55363800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55363800 is about 7440.6854522954. The cubic root of 55363800 is about 381.1318974862.

The spelling of 55363800 in words is "fifty-five million, three hundred sixty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1590 1741 2120 2650 3180 3482 3975 5223 5300 6360 6964 7950 8705 10446 10600 13928 15900 17410 20892 26115 31800 34820 41784 43525 52230 69640 87050 92273 104460 130575 174100 184546 208920 261150 276819 348200 369092 461365 522300 553638 738184 922730 1044600 1107276 1384095 1845460 2214552 2306825 2768190 3690920 4613650 5536380 6920475 9227300 11072760 13840950 18454600 27681900 55363800