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42475100 = 22522691579
BaseRepresentation
bin1010001000000…
…1111001011100
32221220221212212
42202001321130
541333200400
64114215552
71024014053
oct242017134
987827785
1042475100
1121a81198
12122845b8
138a522c5
1458d939a
153ae0335
hex2881e5c

42475100 has 36 divisors (see below), whose sum is σ = 92572200. Its totient is φ = 16916160.

The previous prime is 42475091. The next prime is 42475109. The reversal of 42475100 is 157424.

It is an interprime number because it is at equal distance from previous prime (42475091) and next prime (42475109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42475109) 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, 26111 + ... + 27689.

It is an arithmetic number, because the mean of its divisors is an integer number (2571450).

Almost surely, 242475100 is an apocalyptic number.

It is an amenable number.

42475100 is an abundant number, since it is smaller than the sum of its proper divisors (50097100).

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

42475100 is a wasteful number, since it uses less digits than its factorization.

42475100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 42475100 is about 6517.2923825773. The cubic root of 42475100 is about 348.9084359536.

The spelling of 42475100 in words is "forty-two million, four hundred seventy-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 1579 2690 3158 5380 6316 6725 7895 13450 15790 26900 31580 39475 78950 157900 424751 849502 1699004 2123755 4247510 8495020 10618775 21237550 42475100