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55238920 = 235112101113
BaseRepresentation
bin1101001010111…
…0000100001000
310211221102112221
43102232010020
5103120121140
65251543424
71240344262
oct322560410
9124842487
1055238920
11291a9900
12165bab74
13b5a0b69
14749cb32
154cb214a
hex34ae108

55238920 has 96 divisors (see below), whose sum is σ = 139187160. Its totient is φ = 19712000.

The previous prime is 55238917. The next prime is 55238983. The reversal of 55238920 is 2983255.

It can be written as a sum of positive squares in 4 ways, for example, as 42693156 + 12545764 = 6534^2 + 3542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488784 + ... + 488896.

Almost surely, 255238920 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 55238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593580).

55238920 is an abundant number, since it is smaller than the sum of its proper divisors (83948240).

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

55238920 is a wasteful number, since it uses less digits than its factorization.

55238920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 55238920 is about 7432.2890148325. The cubic root of 55238920 is about 380.8451181446.

The spelling of 55238920 in words is "fifty-five million, two hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 113 121 202 220 226 242 404 440 452 484 505 565 605 808 904 968 1010 1111 1130 1210 1243 2020 2222 2260 2420 2486 4040 4444 4520 4840 4972 5555 6215 8888 9944 11110 11413 12221 12430 13673 22220 22826 24442 24860 27346 44440 45652 48884 49720 54692 57065 61105 68365 91304 97768 109384 114130 122210 125543 136730 228260 244420 251086 273460 456520 488840 502172 546920 627715 1004344 1255430 1380973 2510860 2761946 5021720 5523892 6904865 11047784 13809730 27619460 55238920