Search a number
-
+
252858801 = 313291791249
BaseRepresentation
bin11110001001001…
…01000110110001
3122121210120001210
433010211012301
51004212440201
641031350333
76160156446
oct1704450661
9577716053
10252858801
1111a806618
12708223a9
13405039c0
14258219cd
15172eb1d6
hexf1251b1

252858801 has 32 divisors (see below), whose sum is σ = 378000000. Its totient is φ = 149280768.

The previous prime is 252858797. The next prime is 252858863. The reversal of 252858801 is 108858252.

It is not a de Polignac number, because 252858801 - 22 = 252858797 is a prime.

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 252858801.

It is not an unprimeable number, because it can be changed into a prime (252858101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201825 + ... + 203073.

It is an arithmetic number, because the mean of its divisors is an integer number (11812500).

Almost surely, 2252858801 is an apocalyptic number.

It is an amenable number.

252858801 is a deficient number, since it is larger than the sum of its proper divisors (125141199).

252858801 is a wasteful number, since it uses less digits than its factorization.

252858801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473.

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 252858801 is about 15901.5345485900. The cubic root of 252858801 is about 632.3526721280.

The spelling of 252858801 in words is "two hundred fifty-two million, eight hundred fifty-eight thousand, eight hundred one".

Divisors: 1 3 13 29 39 87 179 377 537 1131 1249 2327 3747 5191 6981 15573 16237 36221 48711 67483 108663 202449 223571 470873 670713 1412619 2906423 6483559 8719269 19450677 84286267 252858801