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390239808 = 26371032819
BaseRepresentation
bin10111010000101…
…001011001000000
31000012022020101020
4113100221121000
51244400133213
6102420105440
712445661250
oct2720513100
91005266336
10390239808
11190309a42
12aa835280
1362b04c3a
1439b83960
15243d6923
hex17429640

390239808 has 112 divisors (see below), whose sum is σ = 1191889920. Its totient is φ = 110375424.

The previous prime is 390239789. The next prime is 390239867. The reversal of 390239808 is 808932093.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 390239808.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 137023 + ... + 139841.

Almost surely, 2390239808 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 390239808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595944960).

390239808 is an abundant number, since it is smaller than the sum of its proper divisors (801650112).

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

390239808 is a wasteful number, since it uses less digits than its factorization.

390239808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 390239808 is about 19754.4883001307. The cubic root of 390239808 is about 730.7640764395.

The spelling of 390239808 in words is "three hundred ninety million, two hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2819 2884 3296 4326 4944 5638 5768 6592 8457 8652 9888 11276 11536 16914 17304 19733 19776 22552 23072 33828 34608 39466 45104 46144 59199 67656 69216 78932 90208 118398 135312 138432 157864 180416 236796 270624 290357 315728 473592 541248 580714 631456 871071 947184 1161428 1262912 1742142 1894368 2032499 2322856 3484284 3788736 4064998 4645712 6097497 6968568 8129996 9291424 12194994 13937136 16259992 18582848 24389988 27874272 32519984 48779976 55748544 65039968 97559952 130079936 195119904 390239808