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42392394 = 23211251853
BaseRepresentation
bin1010000110110…
…1101101001010
32221202202102200
42201231231022
541323024034
64112341030
71023220662
oct241555512
987682380
1042392394
1121a25040
1212244776
138a23775
1458b71a2
153ac5a99
hex286db4a

42392394 has 48 divisors (see below), whose sum is σ = 100717344. Its totient is φ = 12780000.

The previous prime is 42392393. The next prime is 42392411. The reversal of 42392394 is 49329324.

42392394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42392393) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49272 + ... + 50124.

It is an arithmetic number, because the mean of its divisors is an integer number (2098278).

Almost surely, 242392394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42392394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50358672).

42392394 is an abundant number, since it is smaller than the sum of its proper divisors (58324950).

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

42392394 is a wasteful number, since it uses less digits than its factorization.

42392394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1120 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 42392394 is about 6510.9441711629. The cubic root of 42392394 is about 348.6818281210.

The spelling of 42392394 in words is "forty-two million, three hundred ninety-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 502 753 853 1506 1706 2259 2559 2761 4518 5118 5522 7677 8283 9383 15354 16566 18766 24849 28149 49698 56298 84447 168894 214103 428206 642309 1284618 1926927 2355133 3853854 4710266 7065399 14130798 21196197 42392394