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42418900 = 22522318443
BaseRepresentation
bin1010000111010…
…0001011010100
32221211002210101
42201310023110
541324401100
64113103444
71023361156
oct241641324
987732711
1042418900
1121a42a47
1212257b84
138a32854
1458c2ad6
153acd86a
hex28742d4

42418900 has 36 divisors (see below), whose sum is σ = 96056352. Its totient is φ = 16228960.

The previous prime is 42418897. The next prime is 42418903. The reversal of 42418900 is 981424.

It is an interprime number because it is at equal distance from previous prime (42418897) and next prime (42418903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42418903) 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, 6922 + ... + 11521.

It is an arithmetic number, because the mean of its divisors is an integer number (2668232).

Almost surely, 242418900 is an apocalyptic number.

It is an amenable number.

42418900 is an abundant number, since it is smaller than the sum of its proper divisors (53637452).

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

42418900 is a wasteful number, since it uses less digits than its factorization.

42418900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18480 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 42418900 is about 6512.9793489616. The cubic root of 42418900 is about 348.7544845113.

The spelling of 42418900 in words is "forty-two million, four hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 18443 36886 73772 92215 184430 368860 424189 461075 848378 922150 1696756 1844300 2120945 4241890 8483780 10604725 21209450 42418900