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52331136 = 2731113953
BaseRepresentation
bin1100011110100…
…0001010000000
310122110200211020
43013220022000
5101344044021
65105345440
71203543624
oct307501200
9118420736
1052331136
11275a3180
1215638280
13aac3490
146d43184
1548da7c6
hex31e8280

52331136 has 128 divisors (see below), whose sum is σ = 163477440. Its totient is φ = 14622720.

The previous prime is 52331113. The next prime is 52331161. The reversal of 52331136 is 63113325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54436 + ... + 55388.

Almost surely, 252331136 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 52331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81738720).

52331136 is an abundant number, since it is smaller than the sum of its proper divisors (111146304).

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

52331136 is a wasteful number, since it uses less digits than its factorization.

52331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 52331136 is about 7234.0262648127. The cubic root of 52331136 is about 374.0417275451.

The spelling of 52331136 in words is "fifty-two million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 953 1056 1144 1248 1408 1664 1716 1906 2112 2288 2496 2859 3432 3812 4224 4576 4992 5718 6864 7624 9152 10483 11436 12389 13728 15248 18304 20966 22872 24778 27456 30496 31449 37167 41932 45744 49556 54912 60992 62898 74334 83864 91488 99112 121984 125796 136279 148668 167728 182976 198224 251592 272558 297336 335456 365952 396448 408837 503184 545116 594672 670912 792896 817674 1006368 1090232 1189344 1341824 1585792 1635348 2012736 2180464 2378688 3270696 4025472 4360928 4757376 6541392 8721856 13082784 17443712 26165568 52331136