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42627636 = 22321769653
BaseRepresentation
bin1010001010011…
…1001000110100
32222012201010100
42202213020310
541403041021
64121354100
71025220552
oct242471064
988181110
1042627636
1122075857
1212338930
138aa686c
145938bd2
153b20626
hex28a7234

42627636 has 36 divisors (see below), whose sum is σ = 114093252. Its totient is φ = 13373184.

The previous prime is 42627631. The next prime is 42627643. The reversal of 42627636 is 63672624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38192400 + 4435236 = 6180^2 + 2106^2 .

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

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 42627636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42627631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34215 + ... + 35438.

It is an arithmetic number, because the mean of its divisors is an integer number (3169257).

Almost surely, 242627636 is an apocalyptic number.

It is an amenable number.

42627636 is an abundant number, since it is smaller than the sum of its proper divisors (71465616).

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

42627636 is a wasteful number, since it uses less digits than its factorization.

42627636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69680 (or 69675 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 42627636 is about 6528.9843007929. The cubic root of 42627636 is about 349.3256020503.

The spelling of 42627636 in words is "forty-two million, six hundred twenty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 69653 139306 208959 278612 417918 626877 835836 1184101 1253754 2368202 2507508 3552303 4736404 7104606 10656909 14209212 21313818 42627636