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36245556 = 2234111869
BaseRepresentation
bin1000101001000…
…1000000110100
32112012110120000
42022101000310
533234324211
63332511300
7620040114
oct212210064
975173500
1036245556
1119506906
121017b530
137680999
144b57044
1532ae656
hex2291034

36245556 has 30 divisors (see below), whose sum is σ = 94753890. Its totient is φ = 12081744.

The previous prime is 36245549. The next prime is 36245557. The reversal of 36245556 is 65554263.

It is a happy number.

36245556 is a `hidden beast` number, since 3 + 62 + 45 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18352656 + 17892900 = 4284^2 + 4230^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36245556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36245557) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 55611 + ... + 56258.

It is an arithmetic number, because the mean of its divisors is an integer number (3158463).

Almost surely, 236245556 is an apocalyptic number.

36245556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36245556 is an abundant number, since it is smaller than the sum of its proper divisors (58508334).

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

36245556 is a wasteful number, since it uses less digits than its factorization.

36245556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111885 (or 111874 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 36245556 is about 6020.4282239721. The cubic root of 36245556 is about 330.9417725696.

It can be divided in two parts, 3624 and 5556, that added together give a triangular number (9180 = T135).

The spelling of 36245556 in words is "thirty-six million, two hundred forty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 111869 223738 335607 447476 671214 1006821 1342428 2013642 3020463 4027284 6040926 9061389 12081852 18122778 36245556