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388604142 = 2352932729
BaseRepresentation
bin10111001010011…
…010000011101110
31000002020010200000
4113022122003232
51243440313032
6102321045130
712426036453
oct2712320356
91002203600
10388604142
1118a3a2053
12aa1867a6
13626815a4
143987982a
15241b1e7c
hex1729a0ee

388604142 has 48 divisors (see below), whose sum is σ = 876461040. Its totient is φ = 129045312.

The previous prime is 388604129. The next prime is 388604143. The reversal of 388604142 is 241406883.

388604142 is a `hidden beast` number, since 3 + 8 + 8 + 604 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 388604097 and 388604106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388604143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141034 + ... + 143762.

It is an arithmetic number, because the mean of its divisors is an integer number (18259605).

Almost surely, 2388604142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388604142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438230520).

388604142 is an abundant number, since it is smaller than the sum of its proper divisors (487856898).

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

388604142 is a wasteful number, since it uses less digits than its factorization.

388604142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 388604142 is about 19713.0449702729. The cubic root of 388604142 is about 729.7416625136.

The spelling of 388604142 in words is "three hundred eighty-eight million, six hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 293 486 586 879 1758 2637 2729 5274 5458 7911 8187 15822 16374 23733 24561 47466 49122 71199 73683 142398 147366 221049 442098 663147 799597 1326294 1599194 2398791 4797582 7196373 14392746 21589119 43178238 64767357 129534714 194302071 388604142