Search a number
-
+
40431264 = 253421159
BaseRepresentation
bin1001101000111…
…0111010100000
32211002010021020
42122032322200
540322300024
64002325440
71000442256
oct232167240
984063236
1040431264
1120905675
1211659880
1384b7c33
1455265d6
153839979
hex268eea0

40431264 has 24 divisors (see below), whose sum is σ = 106132320. Its totient is φ = 13477056.

The previous prime is 40431257. The next prime is 40431271. The reversal of 40431264 is 46213404.

It is an interprime number because it is at equal distance from previous prime (40431257) and next prime (40431271).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210484 + ... + 210675.

It is an arithmetic number, because the mean of its divisors is an integer number (4422180).

Almost surely, 240431264 is an apocalyptic number.

It is an amenable number.

40431264 is an abundant number, since it is smaller than the sum of its proper divisors (65701056).

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

40431264 is a wasteful number, since it uses less digits than its factorization.

40431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421172 (or 421164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40431264 is about 6358.5583271682. The cubic root of 40431264 is about 343.2198835476.

Adding to 40431264 its reverse (46213404), we get a palindrome (86644668).

The spelling of 40431264 in words is "forty million, four hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 421159 842318 1263477 1684636 2526954 3369272 5053908 6738544 10107816 13477088 20215632 40431264