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385978476 = 223134761863
BaseRepresentation
bin10111000000011…
…001000001101100
3222220021201221010
4113000121001230
51242302302401
6102144505220
712364522452
oct2700310154
9886251833
10385978476
11188969384
12a931b210
1361c72440
14393949d2
1523d43ed6
hex1701906c

385978476 has 96 divisors (see below), whose sum is σ = 1007935488. Its totient is φ = 114197760.

The previous prime is 385978451. The next prime is 385978477. The reversal of 385978476 is 674879583.

It is not an unprimeable number, because it can be changed into a prime (385978477) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 446821 + ... + 447683.

It is an arithmetic number, because the mean of its divisors is an integer number (10499328).

Almost surely, 2385978476 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 385978476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

385978476 is an abundant number, since it is smaller than the sum of its proper divisors (621957012).

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

385978476 is a wasteful number, since it uses less digits than its factorization.

385978476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 989 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 385978476 is about 19646.3349253748. The cubic root of 385978476 is about 728.0944082170.

The spelling of 385978476 in words is "three hundred eighty-five million, nine hundred seventy-eight thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 61 78 94 122 141 156 183 188 244 282 366 564 611 732 793 863 1222 1586 1726 1833 2379 2444 2589 2867 3172 3452 3666 4758 5178 5734 7332 8601 9516 10356 11219 11468 17202 22438 33657 34404 37271 40561 44876 52643 67314 74542 81122 105286 111813 121683 134628 149084 157929 162244 210572 223626 243366 315858 447252 486732 527293 631716 684359 1054586 1368718 1581879 2053077 2109172 2474221 2737436 3163758 4106154 4948442 6327516 7422663 8212308 9896884 14845326 29690652 32164873 64329746 96494619 128659492 192989238 385978476