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4780431 = 331011753
BaseRepresentation
bin10010001111000110001111
322222212112000
4102033012033
52210433211
6250243343
755430055
oct22170617
98885460
104780431
112775677
121726553
13cb4b76
148c61d5
15646656
hex48f18f

4780431 has 16 divisors (see below), whose sum is σ = 7156320. Its totient is φ = 3153600.

The previous prime is 4780429. The next prime is 4780453. The reversal of 4780431 is 1340874.

It is not a de Polignac number, because 4780431 - 21 = 4780429 is a prime.

It is a super-2 number, since 2×47804312 = 45705041091522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

4780431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4780395 and 4780404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4780411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (447270).

Almost surely, 24780431 is an apocalyptic number.

4780431 is a deficient number, since it is larger than the sum of its proper divisors (2375889).

4780431 is a wasteful number, since it uses less digits than its factorization.

4780431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4780431 is about 2186.4196760915. The cubic root of 4780431 is about 168.4569828582.

The spelling of 4780431 in words is "four million, seven hundred eighty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 101 303 909 1753 2727 5259 15777 47331 177053 531159 1593477 4780431