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42347382 = 23711711291
BaseRepresentation
bin1010000110001…
…0101101110110
32221200110200120
42201202231312
541320104012
64111352410
71022642520
oct241425566
987613616
1042347382
11219a4240
1212222706
138a0912c
1458a4a10
153ab758c
hex2862b76

42347382 has 64 divisors (see below), whose sum is σ = 107163648. Its totient is φ = 10836000.

The previous prime is 42347377. The next prime is 42347407. The reversal of 42347382 is 28374324.

42347382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 32157 + ... + 33447.

It is an arithmetic number, because the mean of its divisors is an integer number (1674432).

Almost surely, 242347382 is an apocalyptic number.

42347382 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 42347382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53581824).

42347382 is an abundant number, since it is smaller than the sum of its proper divisors (64816266).

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

42347382 is a wasteful number, since it uses less digits than its factorization.

42347382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385.

The product of its digits is 32256, while the sum is 33.

The square root of 42347382 is about 6507.4866115882. The cubic root of 42347382 is about 348.5583749639.

The spelling of 42347382 in words is "forty-two million, three hundred forty-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 142 154 213 231 426 462 497 781 994 1291 1491 1562 2343 2582 2982 3873 4686 5467 7746 9037 10934 14201 16401 18074 27111 28402 32802 42603 54222 85206 91661 99407 183322 198814 274983 298221 549966 596442 641627 1008271 1283254 1924881 2016542 3024813 3849762 6049626 7057897 14115794 21173691 42347382