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36315252 = 22322361719
BaseRepresentation
bin1000101010001…
…0000001110100
32112100000011100
42022202001310
533244042002
63334210100
7620450241
oct212420164
975300140
1036315252
1119554206
12101b3930
1376a661c
144b745c8
1532c511c
hex22a2074

36315252 has 72 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 11373120.

The previous prime is 36315197. The next prime is 36315283. The reversal of 36315252 is 25251363.

36315252 is a `hidden beast` number, since 3 + 631 + 5 + 25 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50149 + ... + 50867.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 236315252 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 36315252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

36315252 is an abundant number, since it is smaller than the sum of its proper divisors (61178508).

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

36315252 is a wasteful number, since it uses less digits than its factorization.

36315252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 36315252 is about 6026.2137366675. The cubic root of 36315252 is about 331.1537576341.

The spelling of 36315252 in words is "thirty-six million, three hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 719 732 828 1098 1403 1438 2157 2196 2806 2876 4209 4314 5612 6471 8418 8628 12627 12942 16537 16836 25254 25884 33074 43859 49611 50508 66148 87718 99222 131577 148833 175436 198444 263154 297666 394731 526308 595332 789462 1008757 1578924 2017514 3026271 4035028 6052542 9078813 12105084 18157626 36315252