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4632993 = 3217107283
BaseRepresentation
bin10001101011000110100001
322201101021100
4101223012201
52141223433
6243145013
754244161
oct21530641
98641240
104632993
112684922
121675169
13c62a21
148885a1
15617b13
hex46b1a1

4632993 has 24 divisors (see below), whose sum is σ = 7177248. Its totient is φ = 2869632.

The previous prime is 4632989. The next prime is 4632997. The reversal of 4632993 is 3992364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4632989) and next prime (4632997).

It is not a de Polignac number, because 4632993 - 22 = 4632989 is a prime.

4632993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4632997) 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, 16230 + ... + 16512.

It is an arithmetic number, because the mean of its divisors is an integer number (299052).

Almost surely, 24632993 is an apocalyptic number.

It is an amenable number.

4632993 is a deficient number, since it is larger than the sum of its proper divisors (2544255).

4632993 is a wasteful number, since it uses less digits than its factorization.

4632993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 410 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 4632993 is about 2152.4388493056. The cubic root of 4632993 is about 166.7070173413.

It can be divided in two parts, 4632 and 993, that added together give a square (5625 = 752).

The spelling of 4632993 in words is "four million, six hundred thirty-two thousand, nine hundred ninety-three".

Divisors: 1 3 9 17 51 107 153 283 321 849 963 1819 2547 4811 5457 14433 16371 30281 43299 90843 272529 514777 1544331 4632993