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385975268 = 22729237443
BaseRepresentation
bin10111000000011…
…000001111100100
3222220021120112022
4113000120033210
51242302202033
6102144442312
712364510220
oct2700301744
9886246468
10385975268
11188966a28
12a9319398
1361c70b43
1439393780
1523d43098
hex170183e4

385975268 has 72 divisors (see below), whose sum is σ = 822948672. Its totient is φ = 155046528.

The previous prime is 385975211. The next prime is 385975279. The reversal of 385975268 is 862579583.

It is a congruent number.

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, 871055 + ... + 871497.

Almost surely, 2385975268 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 385975268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411474336).

385975268 is an abundant number, since it is smaller than the sum of its proper divisors (436973404).

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

385975268 is a wasteful number, since it uses less digits than its factorization.

385975268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 518 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The square root of 385975268 is about 19646.2532814784. The cubic root of 385975268 is about 728.0923910636.

The spelling of 385975268 in words is "three hundred eighty-five million, nine hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 443 518 812 841 886 1036 1073 1682 1772 2146 3101 3364 4292 5887 6202 7511 11774 12404 12847 15022 16391 23548 25694 30044 31117 32782 51388 62234 65564 89929 114737 124468 179858 217819 229474 359716 372563 435638 458948 475339 745126 871276 950678 1490252 1901356 2607941 3327373 5215882 6654746 10431764 13309492 13784831 27569662 55139324 96493817 192987634 385975268