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52229232 = 24331129379
BaseRepresentation
bin1100011100111…
…1010001110000
310122021112001000
43013033101300
5101332313412
65103242000
71202640546
oct307172160
9118245030
1052229232
1127533660
12155a9300
13aa88c93
146d17d96
1548ba4dc
hex31cf470

52229232 has 160 divisors (see below), whose sum is σ = 169632000. Its totient is φ = 15240960.

The previous prime is 52229213. The next prime is 52229269. The reversal of 52229232 is 23292225.

52229232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52229196 and 52229205.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137619 + ... + 137997.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 252229232 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 52229232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816000).

52229232 is an abundant number, since it is smaller than the sum of its proper divisors (117402768).

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

52229232 is a wasteful number, since it uses less digits than its factorization.

52229232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 52229232 is about 7226.9794520256. The cubic root of 52229232 is about 373.7987802984.

The spelling of 52229232 in words is "fifty-two million, two hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 379 396 432 464 522 528 594 638 696 758 783 792 957 1044 1137 1188 1276 1392 1516 1566 1584 1914 2088 2274 2376 2552 2871 3032 3132 3411 3828 4169 4176 4548 4752 5104 5742 6064 6264 6822 7656 8338 8613 9096 10233 10991 11484 12507 12528 13644 15312 16676 17226 18192 20466 21982 22968 25014 27288 32973 33352 34452 37521 40932 43964 45936 50028 54576 65946 66704 68904 75042 81864 87928 98919 100056 112563 120901 131892 137808 150084 163728 175856 197838 200112 225126 241802 263784 296757 300168 362703 395676 450252 483604 527568 593514 600336 725406 791352 900504 967208 1088109 1187028 1450812 1582704 1801008 1934416 2176218 2374056 2901624 3264327 4352436 4748112 5803248 6528654 8704872 13057308 17409744 26114616 52229232