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36000042 = 231332731
BaseRepresentation
bin1000100101010…
…1000100101010
32111201222202220
42021111010222
533204000132
63323334510
7614665251
oct211250452
974658686
1036000042
1119359401
1210081436
1375c6000
144ad1798
153261a2c
hex225512a

36000042 has 32 divisors (see below), whose sum is σ = 78025920. Its totient is φ = 11072880.

The previous prime is 36000007. The next prime is 36000059. The reversal of 36000042 is 24000063.

36000042 is a modest number, since divided by 42 gives 36 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 35999985 and 36000030.

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, 11817 + ... + 14547.

It is an arithmetic number, because the mean of its divisors is an integer number (2438310).

Almost surely, 236000042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012960).

36000042 is an abundant number, since it is smaller than the sum of its proper divisors (42025878).

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

36000042 is a wasteful number, since it uses less digits than its factorization.

36000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36000042 is about 6000.0034999990. The cubic root of 36000042 is about 330.1928532977.

The spelling of 36000042 in words is "thirty-six million, forty-two", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2197 2731 4394 5462 6591 8193 13182 16386 35503 71006 106509 213018 461539 923078 1384617 2769234 6000007 12000014 18000021 36000042