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938600052 = 2231367891009
BaseRepresentation
bin110111111100011…
…110011001110100
32102102010211012220
4313330132121310
53410240200202
6233045242340
732154653205
oct6774363164
92372124186
10938600052
114418a7125
122224033b0
1311c5bcc60
148c9275ac
1557603abc
hex37f1e674

938600052 has 96 divisors (see below), whose sum is σ = 2423030400. Its totient is φ = 281014272.

The previous prime is 938599967. The next prime is 938600081. The reversal of 938600052 is 250006839.

It is a happy number.

It is a super-2 number, since 2×9386000522 = 1761940115228805408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 938599986 and 938600022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929724 + ... + 930732.

It is an arithmetic number, because the mean of its divisors is an integer number (25239900).

Almost surely, 2938600052 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 938600052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211515200).

938600052 is an abundant number, since it is smaller than the sum of its proper divisors (1484430348).

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

938600052 is a wasteful number, since it uses less digits than its factorization.

938600052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 938600052 is about 30636.5802921932. The cubic root of 938600052 is about 979.0995658170.

The spelling of 938600052 in words is "nine hundred thirty-eight million, six hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 89 134 156 178 201 267 268 356 402 534 804 871 1009 1068 1157 1742 2018 2314 2613 3027 3471 3484 4036 4628 5226 5963 6054 6942 10452 11926 12108 13117 13884 17889 23852 26234 35778 39351 52468 67603 71556 77519 78702 89801 135206 155038 157404 179602 202809 232557 269403 270412 310076 359204 405618 465114 538806 811236 878839 930228 1077612 1167413 1757678 2334826 2636517 3502239 3515356 4669652 5273034 6016667 7004478 10546068 12033334 14008956 18050001 24066668 36100002 72200004 78216671 156433342 234650013 312866684 469300026 938600052