Search a number
-
+
40430900 = 2252404309
BaseRepresentation
bin1001101000111…
…0110100110100
32211002002202202
42122032310310
540322242100
64002324032
71000441226
oct232166464
984062682
1040430900
1120905374
1211659618
1384b7a13
145526416
1538397d5
hex268ed34

40430900 has 18 divisors (see below), whose sum is σ = 87735270. Its totient is φ = 16172320.

The previous prime is 40430881. The next prime is 40430903. The reversal of 40430900 is 903404.

40430900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1817104 + 38613796 = 1348^2 + 6214^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202055 + ... + 202254.

Almost surely, 240430900 is an apocalyptic number.

It is an amenable number.

40430900 is an abundant number, since it is smaller than the sum of its proper divisors (47304370).

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

40430900 is a wasteful number, since it uses less digits than its factorization.

40430900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404323 (or 404316 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 40430900 is about 6358.5297042634. The cubic root of 40430900 is about 343.2188535492.

The spelling of 40430900 in words is "forty million, four hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 404309 808618 1617236 2021545 4043090 8086180 10107725 20215450 40430900