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36380052 = 22322933449
BaseRepresentation
bin1000101011000…
…1110110010100
32112110022001100
42022301312110
533303130202
63335430100
7621140202
oct212616624
975408040
1036380052
1119598965
1210225330
1376c9c77
144b90072
1532d941c
hex22b1d94

36380052 has 36 divisors (see below), whose sum is σ = 92301300. Its totient is φ = 12081792.

The previous prime is 36380033. The next prime is 36380063. The reversal of 36380052 is 25008363.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 21123216 = 3906^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 36379998 and 36380025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8824 + ... + 12272.

It is an arithmetic number, because the mean of its divisors is an integer number (2563925).

Almost surely, 236380052 is an apocalyptic number.

It is an amenable number.

36380052 is an abundant number, since it is smaller than the sum of its proper divisors (55921248).

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

36380052 is a wasteful number, since it uses less digits than its factorization.

36380052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36380052 is about 6031.5878506410. The cubic root of 36380052 is about 331.3506080065.

It can be divided in two parts, 363 and 80052, that multiplied together give a triangular number (29058876 = T7623).

The spelling of 36380052 in words is "thirty-six million, three hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3449 3516 5274 6898 10347 10548 13796 20694 31041 41388 62082 124164 1010557 2021114 3031671 4042228 6063342 9095013 12126684 18190026 36380052