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55265136 = 24323113443
BaseRepresentation
bin1101001011010…
…0011101110000
310211222202111220
43102310131300
5103121441021
65252305040
71240513563
oct322643560
9124882456
1055265136
1129217573
1216612180
13b5aca84
1474a84da
154cb9cc6
hex34b4770

55265136 has 80 divisors (see below), whose sum is σ = 150633216. Its totient is φ = 17425408.

The previous prime is 55265131. The next prime is 55265153. The reversal of 55265136 is 63156255.

55265136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55265097 and 55265106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55265131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124531 + ... + 124973.

Almost surely, 255265136 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 55265136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75316608).

55265136 is an abundant number, since it is smaller than the sum of its proper divisors (95368080).

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

55265136 is a wasteful number, since it uses less digits than its factorization.

55265136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

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

The square root of 55265136 is about 7434.0524614775. The cubic root of 55265136 is about 380.9053574141.

The spelling of 55265136 in words is "fifty-five million, two hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 113 138 184 226 276 339 368 443 452 552 678 886 904 1104 1329 1356 1772 1808 2599 2658 2712 3544 5198 5316 5424 7088 7797 10189 10396 10632 15594 20378 20792 21264 30567 31188 40756 41584 50059 61134 62376 81512 100118 122268 124752 150177 163024 200236 244536 300354 400472 489072 600708 800944 1151357 1201416 2302714 2402832 3454071 4605428 6908142 9210856 13816284 18421712 27632568 55265136