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427035800 = 235213915361
BaseRepresentation
bin11001011101000…
…000110010011000
31002202112122222202
4121131000302120
51333310121200
6110212505332
713403513222
oct3135006230
91082478882
10427035800
111aa061354
12bb01b248
136a619309
1440a01412
15277541d5
hex19740c98

427035800 has 48 divisors (see below), whose sum is σ = 1000066200. Its totient is φ = 169574400.

The previous prime is 427035799. The next prime is 427035809. The reversal of 427035800 is 8530724.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427035809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20120 + ... + 35480.

Almost surely, 2427035800 is an apocalyptic number.

427035800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427035800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500033100).

427035800 is an abundant number, since it is smaller than the sum of its proper divisors (573030400).

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

427035800 is a wasteful number, since it uses less digits than its factorization.

427035800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15516 (or 15507 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 427035800 is about 20664.8445433301. The cubic root of 427035800 is about 753.0458653789.

The spelling of 427035800 in words is "four hundred twenty-seven million, thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 5560 6950 13900 15361 27800 30722 61444 76805 122888 153610 307220 384025 614440 768050 1536100 2135179 3072200 4270358 8540716 10675895 17081432 21351790 42703580 53379475 85407160 106758950 213517900 427035800