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42108606 = 2335314713
BaseRepresentation
bin1010000010100…
…0011010111110
32221020100011000
42200220122332
541234433411
64102311130
71020626421
oct240503276
987210130
1042108606
1121850901
12121284a6
138954547
1458419b8
153a6b956
hex28286be

42108606 has 32 divisors (see below), whose sum is σ = 95346720. Its totient is φ = 13770432.

The previous prime is 42108601. The next prime is 42108611. The reversal of 42108606 is 60680124.

42108606 is a `hidden beast` number, since 42 + 10 + 8 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (42108601) and next prime (42108611).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42108606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42108601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4495 + ... + 10218.

It is an arithmetic number, because the mean of its divisors is an integer number (2979585).

Almost surely, 242108606 is an apocalyptic number.

42108606 is an abundant number, since it is smaller than the sum of its proper divisors (53238114).

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

42108606 is a wasteful number, since it uses less digits than its factorization.

42108606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14777 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42108606 is about 6489.1144234017. The cubic root of 42108606 is about 347.9020235478.

The spelling of 42108606 in words is "forty-two million, one hundred eight thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 14713 29426 44139 88278 132417 264834 397251 779789 794502 1559578 2339367 4678734 7018101 14036202 21054303 42108606