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42104208 = 243979043
BaseRepresentation
bin1010000010011…
…1010110010000
32221020010010010
42200213112100
541234313313
64102234520
71020610536
oct240472620
987203103
1042104208
1121848573
1212125a40
138952543
145840156
153a6a4c3
hex2827590

42104208 has 40 divisors (see below), whose sum is σ = 109902688. Its totient is φ = 13888512.

The previous prime is 42104203. The next prime is 42104239. The reversal of 42104208 is 80240124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 9177.

Almost surely, 242104208 is an apocalyptic number.

42104208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54951344).

42104208 is an abundant number, since it is smaller than the sum of its proper divisors (67798480).

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

42104208 is a wasteful number, since it uses less digits than its factorization.

42104208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42104208 is about 6488.7755393448. The cubic root of 42104208 is about 347.8899110090.

The spelling of 42104208 in words is "forty-two million, one hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 9043 18086 27129 36172 54258 72344 108516 144688 217032 434064 877171 1754342 2631513 3508684 5263026 7017368 10526052 14034736 21052104 42104208