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52006332 = 22371779461
BaseRepresentation
bin1100011001100…
…0110110111100
310121212012021110
43012120312330
5101303200312
65054402020
71201021650
oct306306674
9117765243
1052006332
11273a1144
1215500310
13aa0b6a1
146c9aa60
15487443c
hex3198dbc

52006332 has 96 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 13777920.

The previous prime is 52006321. The next prime is 52006351. The reversal of 52006332 is 23360025.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 52006299 and 52006308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112582 + ... + 113042.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 252006332 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 52006332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

52006332 is an abundant number, since it is smaller than the sum of its proper divisors (97016388).

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

52006332 is a wasteful number, since it uses less digits than its factorization.

52006332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 52006332 is about 7211.5415827686. The cubic root of 52006332 is about 373.2662652339.

Adding to 52006332 its reverse (23360025), we get a palindrome (75366357).

The spelling of 52006332 in words is "fifty-two million, six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 79 84 102 119 158 204 237 238 316 357 461 474 476 553 714 922 948 1106 1343 1383 1428 1659 1844 2212 2686 2766 3227 3318 4029 5372 5532 6454 6636 7837 8058 9401 9681 12908 15674 16116 18802 19362 23511 28203 31348 36419 37604 38724 47022 54859 56406 72838 94044 109257 109718 112812 145676 164577 218514 219436 254933 329154 437028 509866 619123 658308 764799 1019732 1238246 1529598 1857369 2476492 3059196 3714738 4333861 7429476 8667722 13001583 17335444 26003166 52006332