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42079002 = 23771103137
BaseRepresentation
bin1010000010000…
…1001100011010
32221011211112120
42200201030122
541233012002
64101522110
71020444210
oct240411432
987154476
1042079002
1121830639
1212113336
138943c24
145834cb0
153a62cbc
hex282131a

42079002 has 64 divisors (see below), whose sum is σ = 99201024. Its totient is φ = 11652480.

The previous prime is 42078989. The next prime is 42079013. The reversal of 42079002 is 20097024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307078 + ... + 307214.

It is an arithmetic number, because the mean of its divisors is an integer number (1550016).

Almost surely, 242079002 is an apocalyptic number.

42079002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42079002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49600512).

42079002 is an abundant number, since it is smaller than the sum of its proper divisors (57122022).

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

42079002 is a wasteful number, since it uses less digits than its factorization.

42079002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42079002 is about 6486.8329714892. The cubic root of 42079002 is about 347.8204748492.

The spelling of 42079002 in words is "forty-two million, seventy-nine thousand, two".

Divisors: 1 2 3 6 7 14 21 42 71 103 137 142 206 213 274 309 411 426 497 618 721 822 959 994 1442 1491 1918 2163 2877 2982 4326 5754 7313 9727 14111 14626 19454 21939 28222 29181 42333 43878 51191 58362 68089 84666 98777 102382 136178 153573 197554 204267 296331 307146 408534 592662 1001881 2003762 3005643 6011286 7013167 14026334 21039501 42079002