Search a number
-
+
252858506058 = 23347223446767
BaseRepresentation
bin1110101101111110001…
…0101001101101001010
3220011200010220000021000
43223133202221231022
513120323234143213
6312054523155430
724161032560444
oct3533742515512
9804603800230
10252858506058
1198267042154
1241009975b76
131aac93620b2
14c34a305494
15689dc5dc73
hex3adf8a9b4a

252858506058 has 64 divisors (see below), whose sum is σ = 576437944320. Its totient is φ = 82122739056.

The previous prime is 252858506003. The next prime is 252858506063. The reversal of 252858506058 is 850605858252.

252858506058 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 585 + 0 + 6 + 0 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 252858505995 and 252858506013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342591 + ... + 789357.

It is an arithmetic number, because the mean of its divisors is an integer number (9006842880).

Almost surely, 2252858506058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252858506058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288218972160).

252858506058 is an abundant number, since it is smaller than the sum of its proper divisors (323579438262).

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

252858506058 is a wasteful number, since it uses less digits than its factorization.

252858506058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447048 (or 447042 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 252858506058 in words is "two hundred fifty-two billion, eight hundred fifty-eight million, five hundred six thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 223 282 423 446 669 846 1269 1338 2007 2538 4014 6021 10481 12042 20962 31443 62886 94329 188658 282987 446767 565974 893534 1340301 2680602 4020903 8041806 12062709 20998049 24125418 41996098 62994147 99629041 125988294 188982441 199258082 298887123 377964882 566947323 597774246 896661369 1133894646 1793322738 2689984107 4682564927 5379968214 9365129854 14047694781 28095389562 42143084343 84286168686 126429253029 252858506058