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36063252 = 22331312549
BaseRepresentation
bin1000100110010…
…0100000010100
32111212012111000
42021210200110
533213011002
63324543300
7615350451
oct211444024
974765430
1036063252
11193a1945
12100b1b30
137618a04
144b0a828
15327561c
hex2264814

36063252 has 48 divisors (see below), whose sum is σ = 94248000. Its totient is φ = 11924640.

The previous prime is 36063233. The next prime is 36063253. The reversal of 36063252 is 25236063.

36063252 is a `hidden beast` number, since 3 + 606 + 3 + 2 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36063253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12874 + ... + 15422.

It is an arithmetic number, because the mean of its divisors is an integer number (1963500).

Almost surely, 236063252 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 36063252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47124000).

36063252 is an abundant number, since it is smaller than the sum of its proper divisors (58184748).

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

36063252 is a wasteful number, since it uses less digits than its factorization.

36063252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36063252 is about 6005.2686867450. The cubic root of 36063252 is about 330.3859946145.

It can be divided in two parts, 36063 and 252, that added together give a triangular number (36315 = T269).

The spelling of 36063252 in words is "thirty-six million, sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 2549 3537 4716 5098 7074 7647 10196 14148 15294 22941 30588 45882 68823 91764 137646 275292 333919 667838 1001757 1335676 2003514 3005271 4007028 6010542 9015813 12021084 18031626 36063252