Search a number
-
+
428096200 = 23527305783
BaseRepresentation
bin11001100001000…
…011101011001000
31002211112112120211
4121201003223020
51334043034300
6110251330504
713415520610
oct3141035310
91084475524
10428096200
111aa716014
12bb450a34
136a8cab7c
1440bd9a40
15278b34ba
hex19843ac8

428096200 has 48 divisors (see below), whose sum is σ = 1137516480. Its totient is φ = 146775360.

The previous prime is 428096197. The next prime is 428096213. The reversal of 428096200 is 2690824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151492 + ... + 154291.

It is an arithmetic number, because the mean of its divisors is an integer number (23698260).

Almost surely, 2428096200 is an apocalyptic number.

428096200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428096200 is an abundant number, since it is smaller than the sum of its proper divisors (709420280).

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

428096200 is a wasteful number, since it uses less digits than its factorization.

428096200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305806 (or 305797 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 428096200 is about 20690.4857362025. The cubic root of 428096200 is about 753.6686623323.

The spelling of 428096200 in words is "four hundred twenty-eight million, ninety-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 305783 611566 1223132 1528915 2140481 2446264 3057830 4280962 6115660 7644575 8561924 10702405 12231320 15289150 17123848 21404810 30578300 42809620 53512025 61156600 85619240 107024050 214048100 428096200