Search a number
-
+
252369936 = 243271319259
BaseRepresentation
bin11110000101011…
…01110000010000
3122120212201110200
433002231300100
51004101314221
641013055200
76153052260
oct1702556020
9576781420
10252369936
1111a5022a5
1270627500
1340392330
14257357a0
1517251426
hexf0adc10

252369936 has 120 divisors (see below), whose sum is σ = 869319360. Its totient is φ = 66555648.

The previous prime is 252369917. The next prime is 252369959. The reversal of 252369936 is 639963252.

252369936 is a `hidden beast` number, since 2 + 523 + 6 + 99 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 252369891 and 252369900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3475 + ... + 22733.

It is an arithmetic number, because the mean of its divisors is an integer number (7244328).

Almost surely, 2252369936 is an apocalyptic number.

252369936 is a gapful number since it is divisible by the number (26) 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 252369936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434659680).

252369936 is an abundant number, since it is smaller than the sum of its proper divisors (616949424).

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

252369936 is a wasteful number, since it uses less digits than its factorization.

252369936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19293 (or 19284 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 252369936 is about 15886.1554820542. The cubic root of 252369936 is about 631.9448891751.

The spelling of 252369936 in words is "two hundred fifty-two million, three hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 19259 38518 57777 77036 115554 134813 154072 173331 231108 250367 269626 308144 346662 404439 462216 500734 539252 693324 751101 808878 924432 1001468 1078504 1213317 1386648 1502202 1617756 1752569 2002936 2157008 2253303 2426634 2773296 3004404 3235512 3505138 4005872 4506606 4853268 5257707 6008808 6471024 7010276 9013212 9706536 10515414 12017616 14020552 15773121 18026424 19413072 21030828 28041104 31546242 36052848 42061656 63092484 84123312 126184968 252369936