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399637616 = 2473124779
BaseRepresentation
bin10111110100011…
…111110001110000
31000211222200202012
4113310133301300
51304301400431
6103353342052
712621602150
oct2764376160
91024880665
10399637616
11195648724
12b1a07928
1364a45681
143b10c760
152514122b
hex17d1fc70

399637616 has 120 divisors (see below), whose sum is σ = 945653760. Its totient is φ = 160168320.

The previous prime is 399637607. The next prime is 399637633. The reversal of 399637616 is 616736993.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5058665 + ... + 5058743.

It is an arithmetic number, because the mean of its divisors is an integer number (7880448).

Almost surely, 2399637616 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 399637616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472826880).

399637616 is an abundant number, since it is smaller than the sum of its proper divisors (546016144).

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

399637616 is a wasteful number, since it uses less digits than its factorization.

399637616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 50.

The square root of 399637616 is about 19990.9383471612. The cubic root of 399637616 is about 736.5837268221.

The spelling of 399637616 in words is "three hundred ninety-nine million, six hundred thirty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 47 56 62 79 94 112 124 158 188 217 248 316 329 376 434 496 553 632 658 752 868 961 1106 1264 1316 1457 1736 1922 2212 2449 2632 2914 3472 3713 3844 4424 4898 5264 5828 6727 7426 7688 8848 9796 10199 11656 13454 14852 15376 17143 19592 20398 23312 25991 26908 29704 34286 39184 40796 45167 51982 53816 59408 68572 75919 81592 90334 103964 107632 115103 137144 151838 163184 180668 207928 230206 274288 303676 316169 361336 415856 460412 531433 607352 632338 722672 805721 920824 1062866 1214704 1264676 1611442 1841648 2125732 2529352 3222884 3568193 4251464 5058704 6445768 7136386 8502928 12891536 14272772 24977351 28545544 49954702 57091088 99909404 199818808 399637616