Search a number
-
+
252816606 = 23372923063
BaseRepresentation
bin11110001000110…
…10110011011110
3122121201102012000
433010122303132
51004210112411
641030423130
76156622440
oct1704326336
9577642160
10252816606
1111a787949
1270801aa6
13404ba733
1425810490
15172dd956
hexf11acde

252816606 has 64 divisors (see below), whose sum is σ = 664243200. Its totient is φ = 69739488.

The previous prime is 252816583. The next prime is 252816611. The reversal of 252816606 is 606618252.

252816606 is a `hidden beast` number, since 25 + 28 + 1 + 6 + 606 = 666.

252816606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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, 570 + ... + 22493.

It is an arithmetic number, because the mean of its divisors is an integer number (10378800).

Almost surely, 2252816606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252816606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332121600).

252816606 is an abundant number, since it is smaller than the sum of its proper divisors (411426594).

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

252816606 is a wasteful number, since it uses less digits than its factorization.

252816606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23110 (or 23104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252816606 is about 15900.2077344920. The cubic root of 252816606 is about 632.3174962311.

The spelling of 252816606 in words is "two hundred fifty-two million, eight hundred sixteen thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 5481 10962 23063 46126 69189 138378 161441 207567 322882 415134 484323 622701 668827 968646 1245402 1337654 1452969 2006481 2905938 4012962 4358907 4681789 6019443 8717814 9363578 12038886 14045367 18058329 28090734 36116658 42136101 84272202 126408303 252816606