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42129630 = 2325468107
BaseRepresentation
bin1010000010110…
…1100011011110
32221021101222200
42200231203132
541241122010
64102552330
71021044624
oct240554336
987241880
1042129630
1121865684
12121386a6
138960c9a
145849514
153a72cc0
hex282d8de

42129630 has 24 divisors (see below), whose sum is σ = 109537272. Its totient is φ = 11234544.

The previous prime is 42129559. The next prime is 42129641. The reversal of 42129630 is 3692124.

42129630 is a `hidden beast` number, since 4 + 2 + 1 + 29 + 630 = 666.

42129630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42129594 and 42129603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233964 + ... + 234143.

It is an arithmetic number, because the mean of its divisors is an integer number (4564053).

Almost surely, 242129630 is an apocalyptic number.

42129630 is an abundant number, since it is smaller than the sum of its proper divisors (67407642).

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

42129630 is a wasteful number, since it uses less digits than its factorization.

42129630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468120 (or 468117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42129630 is about 6490.7341649462. The cubic root of 42129630 is about 347.9599141302.

The spelling of 42129630 in words is "forty-two million, one hundred twenty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 468107 936214 1404321 2340535 2808642 4212963 4681070 7021605 8425926 14043210 21064815 42129630