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42106506 = 23131493623
BaseRepresentation
bin1010000010011…
…1111010001010
32221020020021020
42200213322022
541234402011
64102253310
71020620331
oct240477212
987206236
1042106506
112184a272
1212127236
1389535c0
145840d18
153a6b006
hex2827e8a

42106506 has 32 divisors (see below), whose sum is σ = 91324800. Its totient is φ = 12865344.

The previous prime is 42106499. The next prime is 42106513. The reversal of 42106506 is 60560124.

It is an interprime number because it is at equal distance from previous prime (42106499) and next prime (42106513).

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, 9811 + ... + 13433.

It is an arithmetic number, because the mean of its divisors is an integer number (2853900).

Almost surely, 242106506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42106506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45662400).

42106506 is an abundant number, since it is smaller than the sum of its proper divisors (49218294).

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

42106506 is a wasteful number, since it uses less digits than its factorization.

42106506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42106506 is about 6488.9526119398. The cubic root of 42106506 is about 347.8962400396.

The spelling of 42106506 in words is "forty-two million, one hundred six thousand, five hundred six".

Divisors: 1 2 3 6 13 26 39 78 149 298 447 894 1937 3623 3874 5811 7246 10869 11622 21738 47099 94198 141297 282594 539827 1079654 1619481 3238962 7017751 14035502 21053253 42106506