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5093067252 = 22372133121493
BaseRepresentation
bin1001011111001001…
…00000100111110100
3111010221111121211110
410233210200213310
540412311123002
62201214035020
7240132233400
oct45744404764
914127447743
105093067252
1121839a3899
12ba17a8a70
13632215980
143645aa100
151ec1dbe6c
hex12f9209f4

5093067252 has 144 divisors (see below), whose sum is σ = 15368381952. Its totient is φ = 1299836160.

The previous prime is 5093067241. The next prime is 5093067253. The reversal of 5093067252 is 2527603905.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5093067252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093067253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226218 + ... + 247710.

Almost surely, 25093067252 is an apocalyptic number.

5093067252 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 5093067252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684190976).

5093067252 is an abundant number, since it is smaller than the sum of its proper divisors (10275314700).

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

5093067252 is a wasteful number, since it uses less digits than its factorization.

5093067252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21558 (or 21549 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 5093067252 is about 71365.7288339438. The cubic root of 5093067252 is about 1720.5203099571.

The spelling of 5093067252 in words is "five billion, ninety-three million, sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 182 186 196 217 273 294 364 372 403 434 546 588 637 651 806 868 1092 1209 1274 1302 1519 1612 1911 2418 2548 2604 2821 3038 3822 4557 4836 5642 6076 7644 8463 9114 11284 16926 18228 19747 21493 33852 39494 42986 59241 64479 78988 85972 118482 128958 150451 236964 257916 279409 300902 451353 558818 601804 666283 838227 902706 1053157 1117636 1332566 1676454 1805412 1955863 1998849 2106314 2665132 3159471 3352908 3911726 3997698 4212628 4663981 5867589 6318942 7823452 7995396 8661679 9327962 11735178 12637884 13691041 13991943 17323358 18655924 23470356 25985037 27382082 27983886 32647867 34646716 41073123 51970074 54764164 55967772 60631753 65295734 82146246 97943601 103940148 121263506 130591468 164292492 181895259 195887202 242527012 363790518 391774404 424422271 727581036 848844542 1273266813 1697689084 2546533626 5093067252