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39996342 = 2351747103
BaseRepresentation
bin1001100010010…
…0101110110110
32210021000200000
42120210232312
540214340332
63545132130
7663651261
oct230445666
983230600
1039996342
1120638931
121148a046
138394c99
145451cd8
1537a0b7c
hex2624bb6

39996342 has 96 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 12161664.

The previous prime is 39996337. The next prime is 39996343. The reversal of 39996342 is 24369993.

39996342 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 634 + 2 = 666.

39996342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39996343) 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 47 ways as a sum of consecutive naturals, for example, 388263 + ... + 388365.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 239996342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39996342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376).

39996342 is an abundant number, since it is smaller than the sum of its proper divisors (58126410).

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

39996342 is a wasteful number, since it uses less digits than its factorization.

39996342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 39996342 is about 6324.2661234328. The cubic root of 39996342 is about 341.9847638642.

The spelling of 39996342 in words is "thirty-nine million, nine hundred ninety-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 103 141 153 162 206 243 282 306 309 423 459 486 618 799 846 918 927 1269 1377 1598 1751 1854 2397 2538 2754 2781 3502 3807 4131 4794 4841 5253 5562 7191 7614 8262 8343 9682 10506 11421 14382 14523 15759 16686 21573 22842 25029 29046 31518 43146 43569 47277 50058 64719 82297 87138 94554 129438 130707 141831 164594 194157 246891 261414 283662 388314 392121 425493 493782 740673 784242 850986 1176363 1481346 2222019 2352726 4444038 6666057 13332114 19998171 39996342