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399632016 = 243719591061
BaseRepresentation
bin10111110100011…
…110011010010000
31000211222102001210
4113310132122100
51304301211031
6103353300120
712621546630
oct2764363220
91024872053
10399632016
111956444a3
12b1a04640
1364a42c64
143b10a6c0
152513e746
hex17d1e690

399632016 has 160 divisors (see below), whose sum is σ = 1264204800. Its totient is φ = 106237440.

The previous prime is 399632011. The next prime is 399632021. The reversal of 399632016 is 610236993.

It is an interprime number because it is at equal distance from previous prime (399632011) and next prime (399632021).

It is a super-4 number, since 4×3996320164 (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (399632011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376126 + ... + 377186.

It is an arithmetic number, because the mean of its divisors is an integer number (7901280).

Almost surely, 2399632016 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 399632016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632102400).

399632016 is an abundant number, since it is smaller than the sum of its proper divisors (864572784).

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

399632016 is a wasteful number, since it uses less digits than its factorization.

399632016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 399632016 is about 19990.7982832102. The cubic root of 399632016 is about 736.5802862983.

The spelling of 399632016 in words is "three hundred ninety-nine million, six hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 59 76 84 112 114 118 133 152 168 177 228 236 266 304 336 354 399 413 456 472 532 708 798 826 912 944 1061 1064 1121 1239 1416 1596 1652 2122 2128 2242 2478 2832 3183 3192 3304 3363 4244 4484 4956 6366 6384 6608 6726 7427 7847 8488 8968 9912 12732 13452 14854 15694 16976 17936 19824 20159 22281 23541 25464 26904 29708 31388 40318 44562 47082 50928 53808 59416 60477 62599 62776 80636 89124 94164 118832 120954 125198 125552 141113 161272 178248 187797 188328 241908 250396 282226 322544 356496 375594 376656 423339 438193 483816 500792 564452 751188 846678 876386 967632 1001584 1128904 1189381 1314579 1502376 1693356 1752772 2257808 2378762 2629158 3004752 3386712 3505544 3568143 4757524 5258316 6773424 7011088 7136286 8325667 9515048 10516632 14272572 16651334 19030096 21033264 24977001 28545144 33302668 49954002 57090288 66605336 99908004 133210672 199816008 399632016