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52192924 = 227171929199
BaseRepresentation
bin1100011100011…
…0011010011100
310122012200020021
43013012122130
5101330133144
65102401524
71202426650
oct307063234
9118180207
1052192924
1127509353
12155902a4
13aa755b4
146d08a60
1548ae884
hex31c669c

52192924 has 96 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 19160064.

The previous prime is 52192919. The next prime is 52192937. The reversal of 52192924 is 42929125.

52192924 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 (34).

It is a self number, because there is not a number n which added to its sum of digits gives 52192924.

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, 262177 + ... + 262375.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 252192924 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 52192924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

52192924 is an abundant number, since it is smaller than the sum of its proper divisors (68767076).

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

52192924 is a wasteful number, since it uses less digits than its factorization.

52192924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 52192924 is about 7224.4670391663. The cubic root of 52192924 is about 373.7121427858.

The spelling of 52192924 in words is "fifty-two million, one hundred ninety-two thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 29 34 38 58 68 76 116 119 133 199 203 238 266 323 398 406 476 493 532 551 646 796 812 986 1102 1292 1393 1972 2204 2261 2786 3383 3451 3781 3857 4522 5572 5771 6766 6902 7562 7714 9044 9367 11542 13532 13804 15124 15428 18734 23084 23681 26467 37468 40397 47362 52934 64277 65569 80794 94724 98107 105868 109649 128554 131138 161588 196214 219298 257108 262276 392428 438596 449939 686749 767543 899878 1373498 1535086 1799756 1864033 2746996 3070172 3728066 7456132 13048231 26096462 52192924