Search a number
-
+
252527652 = 2233131311373
BaseRepresentation
bin11110000110101…
…00010000100100
3122121011201211000
433003110100210
51004121341102
641020313300
76154310136
oct1703242044
9577151730
10252527652
1111a5aa843
12706a2830
1340419060
1425777056
151728301c
hexf0d4424

252527652 has 96 divisors (see below), whose sum is σ = 710962560. Its totient is φ = 77051520.

The previous prime is 252527633. The next prime is 252527677. The reversal of 252527652 is 256725252.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183238 + ... + 184610.

It is an arithmetic number, because the mean of its divisors is an integer number (7405860).

Almost surely, 2252527652 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 252527652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355481280).

252527652 is an abundant number, since it is smaller than the sum of its proper divisors (458434908).

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

252527652 is a wasteful number, since it uses less digits than its factorization.

252527652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1522 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 252527652 is about 15891.1186516242. The cubic root of 252527652 is about 632.0765042515.

The spelling of 252527652 in words is "two hundred fifty-two million, five hundred twenty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 131 156 234 262 351 393 468 524 702 786 1179 1373 1404 1572 1703 2358 2746 3406 3537 4119 4716 5109 5492 6812 7074 8238 10218 12357 14148 15327 16476 17849 20436 24714 30654 35698 37071 45981 49428 53547 61308 71396 74142 91962 107094 148284 160641 179863 183924 214188 321282 359726 481923 539589 642564 719452 963846 1079178 1618767 1927692 2158356 2338219 3237534 4676438 4856301 6475068 7014657 9352876 9712602 14029314 19425204 21043971 28058628 42087942 63131913 84175884 126263826 252527652