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42125116 = 221117199283
BaseRepresentation
bin1010000010110…
…0011100111100
32221021011210111
42200230130330
541241000431
64102515404
71021025515
oct240543474
987234714
1042125116
1121862250
1212135b64
13895bc07
145847a0c
153a717b1
hex282c73c

42125116 has 48 divisors (see below), whose sum is σ = 85881600. Its totient is φ = 17867520.

The previous prime is 42125107. The next prime is 42125117. The reversal of 42125116 is 61152124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42125117) 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, 148711 + ... + 148993.

It is an arithmetic number, because the mean of its divisors is an integer number (1789200).

Almost surely, 242125116 is an apocalyptic number.

It is an amenable number.

42125116 is an abundant number, since it is smaller than the sum of its proper divisors (43756484).

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

42125116 is a wasteful number, since it uses less digits than its factorization.

42125116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 42125116 is about 6490.3864291735. The cubic root of 42125116 is about 347.9474862408.

The spelling of 42125116 in words is "forty-two million, one hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 187 199 283 374 398 566 748 796 1132 2189 3113 3383 4378 4811 6226 6766 8756 9622 12452 13532 19244 37213 52921 56317 74426 105842 112634 148852 211684 225268 619487 957389 1238974 1914778 2477948 3829556 10531279 21062558 42125116