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399052440 = 233351919447
BaseRepresentation
bin10111110010010…
…000111010011000
31000210212222001000
4113302100322120
51304124134230
6103333025000
712613614123
oct2762207230
91023788030
10399052440
11195289006
12b1785160
136489c207
143add93ba
1525077b60
hex17c90e98

399052440 has 128 divisors (see below), whose sum is σ = 1400256000. Its totient is φ = 100808064.

The previous prime is 399052439. The next prime is 399052477. The reversal of 399052440 is 44250993.

399052440 is a `hidden beast` number, since 3 + 9 + 90 + 524 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 399052395 and 399052404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10797 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (10939500).

Almost surely, 2399052440 is an apocalyptic number.

399052440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700128000).

399052440 is an abundant number, since it is smaller than the sum of its proper divisors (1001203560).

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

399052440 is a wasteful number, since it uses less digits than its factorization.

399052440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19486 (or 19476 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 399052440 is about 19976.2969541404. The cubic root of 399052440 is about 736.2240328940.

The spelling of 399052440 in words is "three hundred ninety-nine million, fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 19447 20520 38894 58341 77788 97235 116682 155576 175023 194470 233364 291705 350046 369493 388940 466728 525069 583410 700092 738986 777880 875115 1050138 1108479 1166820 1400184 1477972 1750230 1847465 2100276 2216958 2333640 2625345 2955944 3325437 3500460 3694930 4200552 4433916 5250690 5542395 6650874 7000920 7389860 8867832 9976311 10501380 11084790 13301748 14779720 16627185 19952622 21002760 22169580 26603496 33254370 39905244 44339160 49881555 66508740 79810488 99763110 133017480 199526220 399052440