Search a number
-
+
252834696 = 23384817
BaseRepresentation
bin11110001000111…
…11001110001000
3122121202100000000
433010133032020
51004211202241
641031043000
76160026252
oct1704371610
9577670000
10252834696
1111a79a4a4
1270810460
13404c5a3a
1425816cd2
15172e3eb6
hexf11f388

252834696 has 72 divisors (see below), whose sum is σ = 711209070. Its totient is φ = 84260736.

The previous prime is 252834689. The next prime is 252834707. The reversal of 252834696 is 696438252.

252834696 is a `hidden beast` number, since 2 + 528 + 34 + 6 + 96 = 666.

252834696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 246929796 + 5904900 = 15714^2 + 2430^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50080 + ... + 54896.

Almost surely, 2252834696 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 252834696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355604535).

252834696 is an abundant number, since it is smaller than the sum of its proper divisors (458374374).

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

252834696 is an frugal number, since it uses more digits than its factorization.

252834696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4822 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 252834696 is about 15900.7765848087. The cubic root of 252834696 is about 632.3325774539.

The spelling of 252834696 in words is "two hundred fifty-two million, eight hundred thirty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 4817 5832 6561 8748 9634 13122 14451 17496 19268 26244 28902 38536 43353 52488 57804 86706 115608 130059 173412 260118 346824 390177 520236 780354 1040472 1170531 1560708 2341062 3121416 3511593 4682124 7023186 9364248 10534779 14046372 21069558 28092744 31604337 42139116 63208674 84278232 126417348 252834696