Search a number
-
+
442733031 = 32134388001
BaseRepresentation
bin11010011000111…
…001000111100111
31010212002011112200
4122120321013213
51401314424111
6111533145543
713654111566
oct3230710747
91125064480
10442733031
11207a02974
1210432b2b3
1370954110
1442b29bdd
1528d05256
hex1a6391e7

442733031 has 24 divisors (see below), whose sum is σ = 704720016. Its totient is φ = 266112000.

The previous prime is 442733029. The next prime is 442733033. The reversal of 442733031 is 130337244.

It is an interprime number because it is at equal distance from previous prime (442733029) and next prime (442733033).

It is not a de Polignac number, because 442733031 - 21 = 442733029 is a prime.

It is a super-2 number, since 2×4427330312 = 392025073476893922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442732986 and 442733004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442733033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38970 + ... + 49031.

It is an arithmetic number, because the mean of its divisors is an integer number (29363334).

Almost surely, 2442733031 is an apocalyptic number.

442733031 is a deficient number, since it is larger than the sum of its proper divisors (261986985).

442733031 is a wasteful number, since it uses less digits than its factorization.

442733031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88063 (or 88060 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 442733031 is about 21041.2221840843. Note that the first 3 decimals coincide. The cubic root of 442733031 is about 762.1620287019.

The spelling of 442733031 in words is "four hundred forty-two million, seven hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 5031 88001 264003 792009 1144013 3432039 3784043 10296117 11352129 34056387 49192559 147577677 442733031