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854842048 = 26292272029
BaseRepresentation
bin110010111100111…
…101101011000000
32012120112110211121
4302330331223000
53222314421143
6220454122024
730120015604
oct6274755300
92176473747
10854842048
113a9599535
121ba350314
131081451c8
1481763504
15500ab7ed
hex32f3dac0

854842048 has 56 divisors (see below), whose sum is σ = 1763420400. Its totient is φ = 410661888.

The previous prime is 854842039. The next prime is 854842057. The reversal of 854842048 is 840248458.

It is an interprime number because it is at equal distance from previous prime (854842039) and next prime (854842057).

It is a junction number, because it is equal to n+sod(n) for n = 854841995 and 854842013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420298 + ... + 422326.

It is an arithmetic number, because the mean of its divisors is an integer number (31489650).

Almost surely, 2854842048 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 854842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881710200).

854842048 is an abundant number, since it is smaller than the sum of its proper divisors (908578352).

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

854842048 is a wasteful number, since it uses less digits than its factorization.

854842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 43.

The square root of 854842048 is about 29237.6819874627. The cubic root of 854842048 is about 949.0635455300.

The spelling of 854842048 in words is "eight hundred fifty-four million, eight hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 227 232 454 464 908 928 1816 1856 2029 3632 4058 6583 7264 8116 13166 14528 16232 26332 32464 52664 58841 64928 105328 117682 129856 210656 235364 421312 460583 470728 921166 941456 1842332 1882912 3684664 3765824 7369328 13356907 14738656 26713814 29477312 53427628 106855256 213710512 427421024 854842048