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3942642 = 2311314147
BaseRepresentation
bin1111000010100011110010
321102022021210
433002203302
52002131032
6220300550
745340404
oct17024362
97368253
103942642
112253190
1213a1756
13a80732
14748b74
1552d2cc
hex3c28f2

3942642 has 64 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 1104000.

The previous prime is 3942619. The next prime is 3942643. The reversal of 3942642 is 2462493.

3942642 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 (3942643) 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 31 ways as a sum of consecutive naturals, for example, 83863 + ... + 83909.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

Almost surely, 23942642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

3942642 is an abundant number, since it is smaller than the sum of its proper divisors (5347086).

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

3942642 is a wasteful number, since it uses less digits than its factorization.

3942642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135.

The product of its digits is 10368, while the sum is 30.

The square root of 3942642 is about 1985.6087227850. The cubic root of 3942642 is about 157.9776980753.

The spelling of 3942642 in words is "three million, nine hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 41 47 62 66 82 93 94 123 141 186 246 282 341 451 517 682 902 1023 1034 1271 1353 1457 1551 1927 2046 2542 2706 2914 3102 3813 3854 4371 5781 7626 8742 11562 13981 16027 21197 27962 32054 41943 42394 48081 59737 63591 83886 96162 119474 127182 179211 358422 657107 1314214 1971321 3942642