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385854976 = 2913291999
BaseRepresentation
bin10110111111111…
…010111000000000
3222220001110112001
4112333322320000
51242234324401
6102142113344
712363466423
oct2677727000
9886043461
10385854976
11188894611
12a927b854
1361c2b170
14393619ba
1523d1c601
hex16ffae00

385854976 has 80 divisors (see below), whose sum is σ = 859320000. Its totient is φ = 171859968.

The previous prime is 385854929. The next prime is 385854979. The reversal of 385854976 is 679458583.

385854976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385854979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192025 + ... + 194023.

It is an arithmetic number, because the mean of its divisors is an integer number (10741500).

Almost surely, 2385854976 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 385854976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429660000).

385854976 is an abundant number, since it is smaller than the sum of its proper divisors (473465024).

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

385854976 is a wasteful number, since it uses less digits than its factorization.

385854976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2043 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The square root of 385854976 is about 19643.1915940358. The cubic root of 385854976 is about 728.0167447745.

The spelling of 385854976 in words is "three hundred eighty-five million, eight hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 928 1508 1664 1856 1999 3016 3328 3712 3998 6032 6656 7424 7996 12064 14848 15992 24128 25987 31984 48256 51974 57971 63968 96512 103948 115942 127936 193024 207896 231884 255872 415792 463768 511744 753623 831584 927536 1023488 1507246 1663168 1855072 3014492 3326336 3710144 6028984 6652672 7420288 12057968 13305344 14840576 24115936 29681152 48231872 96463744 192927488 385854976