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390638514 = 237531131553
BaseRepresentation
bin10111010010001…
…010101110110010
31000020001111022010
4113102022232302
51300000413024
6102432423350
712452241540
oct2722125662
91006044263
10390638514
11190561552
12aa9a7b56
1362c14566
1439c48d90
1524464b29
hex1748abb2

390638514 has 64 divisors (see below), whose sum is σ = 918376704. Its totient is φ = 108466176.

The previous prime is 390638491. The next prime is 390638519. The reversal of 390638514 is 415836093.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (390638519) 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, 250762 + ... + 252314.

It is an arithmetic number, because the mean of its divisors is an integer number (14349636).

Almost surely, 2390638514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390638514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459188352).

390638514 is an abundant number, since it is smaller than the sum of its proper divisors (527738190).

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

390638514 is a wasteful number, since it uses less digits than its factorization.

390638514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 390638514 is about 19764.5772532579. The cubic root of 390638514 is about 731.0128643602.

The spelling of 390638514 in words is "three hundred ninety million, six hundred thirty-eight thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 106 113 159 226 318 339 371 678 742 791 1113 1553 1582 2226 2373 3106 4659 4746 5989 9318 10871 11978 17967 21742 32613 35934 41923 65226 82309 83846 125769 164618 175489 246927 251538 350978 493854 526467 576163 1052934 1152326 1228423 1728489 2456846 3456978 3685269 7370538 9300917 18601834 27902751 55805502 65106419 130212838 195319257 390638514