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4672431 = 33173053
BaseRepresentation
bin10001110100101110101111
322210101101000
4101310232233
52144004211
6244051343
754500151
oct21645657
98711330
104672431
112701515
121693b53
13c7796a
14898ad1
15624656
hex474baf

4672431 has 8 divisors (see below), whose sum is σ = 6922160. Its totient is φ = 3114936.

The previous prime is 4672373. The next prime is 4672441. The reversal of 4672431 is 1342764.

It is not a de Polignac number, because 4672431 - 27 = 4672303 is a prime.

It is a super-2 number, since 2×46724312 = 43663222899522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 173053 = 4672431 / (4 + 6 + 7 + 2 + 4 + 3 + 1).

It is a Duffinian number.

4672431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4672395 and 4672404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86500 + ... + 86553.

It is an arithmetic number, because the mean of its divisors is an integer number (865270).

Almost surely, 24672431 is an apocalyptic number.

4672431 is a deficient number, since it is larger than the sum of its proper divisors (2249729).

4672431 is a wasteful number, since it uses less digits than its factorization.

4672431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173062 (or 173056 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4672431 is about 2161.5806716382. The cubic root of 4672431 is about 167.1787083798.

The spelling of 4672431 in words is "four million, six hundred seventy-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 173053 519159 1557477 4672431