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39949668 = 223211791277
BaseRepresentation
bin1001100001100…
…1010101100100
32210011122122100
42120121111210
540211342133
63544132100
7663365223
oct230312544
983148570
1039949668
1120606860
1211467030
138379975
14543ccba
153791e13
hex2619564

39949668 has 72 divisors (see below), whose sum is σ = 111646080. Its totient is φ = 11943360.

The previous prime is 39949661. The next prime is 39949673. The reversal of 39949668 is 86694993.

It is a happy number.

39949668 is a `hidden beast` number, since 3 + 99 + 496 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (39949661) 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 23 ways as a sum of consecutive naturals, for example, 30646 + ... + 31922.

It is an arithmetic number, because the mean of its divisors is an integer number (1550640).

Almost surely, 239949668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39949668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55823040).

39949668 is an abundant number, since it is smaller than the sum of its proper divisors (71696412).

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

39949668 is a wasteful number, since it uses less digits than its factorization.

39949668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1372 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 39949668 is about 6320.5749738453. The cubic root of 39949668 is about 341.8516849457.

The spelling of 39949668 in words is "thirty-nine million, nine hundred forty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 711 869 948 1277 1422 1738 2554 2607 2844 3476 3831 5108 5214 7662 7821 10428 11493 14047 15324 15642 22986 28094 31284 42141 45972 56188 84282 100883 126423 168564 201766 252846 302649 403532 505692 605298 907947 1109713 1210596 1815894 2219426 3329139 3631788 4438852 6658278 9987417 13316556 19974834 39949668