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52204932 = 223313192103
BaseRepresentation
bin1100011100100…
…1010110000100
310122020021201000
43013021112010
5101331024212
65102533300
71202506653
oct307112604
9118207630
1052204932
112751737a
1215597230
13aa7abc0
146d0d19a
1548b31dc
hex31c9584

52204932 has 144 divisors (see below), whose sum is σ = 155326080. Its totient is φ = 15069888.

The previous prime is 52204897. The next prime is 52204937. The reversal of 52204932 is 23940225.

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 = 52204896 and 52204905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52204937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506793 + ... + 506895.

Almost surely, 252204932 is an apocalyptic number.

52204932 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52204932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

52204932 is an abundant number, since it is smaller than the sum of its proper divisors (103121148).

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

52204932 is a wasteful number, since it uses less digits than its factorization.

52204932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

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

The square root of 52204932 is about 7225.2980561358. The cubic root of 52204932 is about 373.7408005103.

The spelling of 52204932 in words is "fifty-two million, two hundred four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 103 108 114 117 156 171 206 228 234 247 309 342 351 361 412 468 494 513 618 684 702 722 741 927 988 1026 1083 1236 1339 1404 1444 1482 1854 1957 2052 2166 2223 2678 2781 2964 3249 3708 3914 4017 4332 4446 4693 5356 5562 5871 6498 6669 7828 8034 8892 9386 9747 11124 11742 12051 12996 13338 14079 16068 17613 18772 19494 23484 24102 25441 26676 28158 35226 36153 37183 38988 42237 48204 50882 52839 56316 70452 72306 74366 76323 84474 101764 105678 111549 126711 144612 148732 152646 168948 211356 223098 228969 253422 305292 334647 446196 457938 483379 506844 669294 686907 915876 966758 1003941 1338588 1373814 1450137 1933516 2007882 2747628 2900274 4015764 4350411 5800548 8700822 13051233 17401644 26102466 52204932