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399942408 = 2331731103307
BaseRepresentation
bin10111110101101…
…010001100001000
31000212120011211210
4113311222030020
51304341124113
6103404053120
712624311565
oct2765521410
91025504753
10399942408
11195836718
12b1b341a0
1364b21318
143b18b86c
15251a16c3
hex17d6a308

399942408 has 128 divisors (see below), whose sum is σ = 1107025920. Its totient is φ = 119854080.

The previous prime is 399942401. The next prime is 399942443. The reversal of 399942408 is 804249993.

It is not an unprimeable number, because it can be changed into a prime (399942401) 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, 1302591 + ... + 1302897.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2399942408 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 399942408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553512960).

399942408 is an abundant number, since it is smaller than the sum of its proper divisors (707083512).

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

399942408 is a wasteful number, since it uses less digits than its factorization.

399942408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 399942408 is about 19998.5601481707. The cubic root of 399942408 is about 736.7709362405.

The spelling of 399942408 in words is "three hundred ninety-nine million, nine hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 103 124 136 186 204 206 248 307 309 372 408 412 527 614 618 744 824 921 1054 1228 1236 1581 1751 1842 2108 2456 2472 3162 3193 3502 3684 4216 5219 5253 6324 6386 7004 7368 9517 9579 10438 10506 12648 12772 14008 15657 19034 19158 20876 21012 25544 28551 31314 31621 38068 38316 41752 42024 54281 57102 62628 63242 76136 76632 94863 108562 114204 125256 126484 161789 162843 189726 217124 228408 252968 323578 325686 379452 434248 485367 537557 647156 651372 758904 970734 980251 1075114 1294312 1302744 1612671 1941468 1960502 2150228 2940753 3225342 3882936 3921004 4300456 5881506 6450684 7842008 11763012 12901368 16664267 23526024 33328534 49992801 66657068 99985602 133314136 199971204 399942408