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385887656 = 237111813461
BaseRepresentation
bin10111000000000…
…010110110101000
3222220010010100102
4113000002312220
51242241401111
6102142524532
712363663620
oct2700026650
9886103312
10385887656
11188907120
12a9296748
1361c3ccbb
143936d880
1523d2713b
hex17002da8

385887656 has 64 divisors (see below), whose sum is σ = 907320960. Its totient is φ = 149472000.

The previous prime is 385887589. The next prime is 385887673. The reversal of 385887656 is 656788583.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 109766 + ... + 113226.

It is an arithmetic number, because the mean of its divisors is an integer number (14176890).

Almost surely, 2385887656 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 385887656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453660480).

385887656 is an abundant number, since it is smaller than the sum of its proper divisors (521433304).

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

385887656 is a wasteful number, since it uses less digits than its factorization.

385887656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3662 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 56.

The square root of 385887656 is about 19644.0234168054. The cubic root of 385887656 is about 728.0372973284.

The spelling of 385887656 in words is "three hundred eighty-five million, eight hundred eighty-seven thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 181 308 362 616 724 1267 1448 1991 2534 3461 3982 5068 6922 7964 10136 13844 13937 15928 24227 27688 27874 38071 48454 55748 76142 96908 111496 152284 193816 266497 304568 532994 626441 1065988 1252882 2131976 2505764 4385087 5011528 6890851 8770174 13781702 17540348 27563404 35080696 48235957 55126808 96471914 192943828 385887656