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42121092 = 223131931399
BaseRepresentation
bin1010000010101…
…1011110000100
32221020222021110
42200223132010
541240333332
64102445020
71021011006
oct240533604
987228243
1042121092
112185a222
1212133770
13895a130
145846376
153a704cc
hex282b784

42121092 has 48 divisors (see below), whose sum is σ = 106467200. Its totient is φ = 12883968.

The previous prime is 42121067. The next prime is 42121097. The reversal of 42121092 is 29012124.

It is not an unprimeable number, because it can be changed into a prime (42121097) 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 15 ways as a sum of consecutive naturals, for example, 29409 + ... + 30807.

Almost surely, 242121092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53233600).

42121092 is an abundant number, since it is smaller than the sum of its proper divisors (64346108).

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

42121092 is a wasteful number, since it uses less digits than its factorization.

42121092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 42121092 is about 6490.0764248197. The cubic root of 42121092 is about 347.9364066648.

The spelling of 42121092 in words is "forty-two million, one hundred twenty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 772 1158 1399 2316 2509 2798 4197 5018 5596 7527 8394 10036 15054 16788 18187 30108 36374 54561 72748 109122 218244 270007 540014 810021 1080028 1620042 3240084 3510091 7020182 10530273 14040364 21060546 42121092