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385298442 = 232311275437
BaseRepresentation
bin10110111101110…
…011000000001010
3222212000012002200
4112331303000022
51242114022232
6102122141030
712355661034
oct2675630012
9885005080
10385298442
11188544471
12a9051776
1361a94a59
1439258c54
1523c5c77c
hex16f7300a

385298442 has 48 divisors (see below), whose sum is σ = 868687872. Its totient is φ = 123288480.

The previous prime is 385298423. The next prime is 385298467. The reversal of 385298442 is 244892583.

385298442 is a `hidden beast` number, since 3 + 8 + 529 + 84 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68148 + ... + 73584.

It is an arithmetic number, because the mean of its divisors is an integer number (18097664).

Almost surely, 2385298442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385298442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434343936).

385298442 is an abundant number, since it is smaller than the sum of its proper divisors (483389430).

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

385298442 is a wasteful number, since it uses less digits than its factorization.

385298442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5600 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 385298442 is about 19629.0204034740. The cubic root of 385298442 is about 727.6665605099. Note that the first 3 decimals are identical.

It can be divided in two parts, 38529 and 8442, that added together give a triangular number (46971 = T306).

The spelling of 385298442 in words is "three hundred eighty-five million, two hundred ninety-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 127 186 254 279 381 558 762 1143 2286 3937 5437 7874 10874 11811 16311 23622 32622 35433 48933 70866 97866 168547 337094 505641 690499 1011282 1380998 1516923 2071497 3033846 4142994 6214491 12428982 21405469 42810938 64216407 128432814 192649221 385298442