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53114292 = 22347112129
BaseRepresentation
bin1100101010011…
…1010110110100
310200221111010000
43022213112310
5102044124132
65134231300
71213315110
oct312472664
9120844100
1053114292
1127a88610
1215955530
13b008a9a
1470a8740
1549e287c
hex32a75b4

53114292 has 120 divisors (see below), whose sum is σ = 173194560. Its totient is φ = 13789440.

The previous prime is 53114267. The next prime is 53114293. The reversal of 53114292 is 29241135.

53114292 is a `hidden beast` number, since 531 + 1 + 42 + 92 = 666.

It is a super-2 number, since 2×531142922 = 5642256029322528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53114293) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23884 + ... + 26012.

It is an arithmetic number, because the mean of its divisors is an integer number (1443288).

Almost surely, 253114292 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 53114292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86597280).

53114292 is an abundant number, since it is smaller than the sum of its proper divisors (120080268).

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

53114292 is a wasteful number, since it uses less digits than its factorization.

53114292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2152 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 53114292 is about 7287.9552687980. The cubic root of 53114292 is about 375.8983900023.

The spelling of 53114292 in words is "fifty-three million, one hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2129 2268 2772 3564 4158 4258 6237 6387 8316 8516 12474 12774 14903 19161 23419 24948 25548 29806 38322 44709 46838 57483 59612 70257 76644 89418 93676 114966 134127 140514 163933 172449 178836 210771 229932 268254 281028 327866 344898 402381 421542 491799 536508 632313 655732 689796 804762 843084 983598 1207143 1264626 1475397 1609524 1896939 1967196 2414286 2529252 2950794 3793878 4426191 4828572 5901588 7587756 8852382 13278573 17704764 26557146 53114292