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36142956 = 2233379883
BaseRepresentation
bin1000100111011…
…1111101101100
32112000020211000
42021313331230
533223033311
63330400300
7616132023
oct211677554
975006730
1036142956
1119446813
1210130090
137646085
144b2b8ba
15328e056
hex2277f6c

36142956 has 48 divisors (see below), whose sum is σ = 94057600. Its totient is φ = 12002256.

The previous prime is 36142933. The next prime is 36142991. The reversal of 36142956 is 65924163.

It is a happy number.

36142956 is a `hidden beast` number, since 361 + 4 + 295 + 6 = 666.

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 36142956.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40491 + ... + 41373.

Almost surely, 236142956 is an apocalyptic number.

36142956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36142956 is an abundant number, since it is smaller than the sum of its proper divisors (57914644).

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

36142956 is a wasteful number, since it uses less digits than its factorization.

36142956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1267 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 36142956 is about 6011.9011967929. The cubic root of 36142956 is about 330.6292127374.

The spelling of 36142956 in words is "thirty-six million, one hundred forty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 379 758 883 1137 1516 1766 2274 2649 3411 3532 4548 5298 6822 7947 10233 10596 13644 15894 20466 23841 31788 40932 47682 95364 334657 669314 1003971 1338628 2007942 3011913 4015884 6023826 9035739 12047652 18071478 36142956