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52045136 = 24111323243
BaseRepresentation
bin1100011010001…
…0010101010000
310121221011111122
43012202111100
5101310421021
65055301412
71201243043
oct306422520
9117834448
1052045136
1127418310
121551a868
13aa23250
146caac5a
154880bab
hex31a2550

52045136 has 120 divisors (see below), whose sum is σ = 126721056. Its totient is φ = 20401920.

The previous prime is 52045129. The next prime is 52045163. The reversal of 52045136 is 63154025.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 1210331 + ... + 1210373.

Almost surely, 252045136 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 52045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360528).

52045136 is an abundant number, since it is smaller than the sum of its proper divisors (74675920).

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

52045136 is a wasteful number, since it uses less digits than its factorization.

52045136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 52045136 is about 7214.2314906024. The cubic root of 52045136 is about 373.3590784400.

Subtracting 52045136 from its reverse (63154025), we obtain a square (11108889 = 33332).

The spelling of 52045136 in words is "fifty-two million, forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 43 44 46 52 86 88 92 104 143 172 176 184 208 253 286 299 344 368 473 506 529 559 572 598 688 946 989 1012 1058 1118 1144 1196 1892 1978 2024 2116 2236 2288 2392 3289 3784 3956 4048 4232 4472 4784 5819 6149 6578 6877 7568 7912 8464 8944 10879 11638 12298 12857 13156 13754 15824 21758 22747 23276 24596 25714 26312 27508 43516 45494 46552 49192 51428 52624 55016 75647 87032 90988 93104 98384 102856 110032 141427 151294 174064 181976 205712 250217 282854 295711 302588 363952 500434 565708 591422 605176 1000868 1131416 1182844 1210352 2001736 2262832 2365688 3252821 4003472 4731376 6505642 13011284 26022568 52045136