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3972433 = 311271009
BaseRepresentation
bin1111001001110101010001
321110211011011
433021311101
52004104213
6221050521
745523303
oct17116521
97424134
103972433
112273603
1213b6a41
13a9116a
14755973
1553703d
hex3c9d51

3972433 has 8 divisors (see below), whose sum is σ = 4136960. Its totient is φ = 3810240.

The previous prime is 3972427. The next prime is 3972439. The reversal of 3972433 is 3342793.

It is an interprime number because it is at equal distance from previous prime (3972427) and next prime (3972439).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3972433 - 217 = 3841361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a d-powerful number, because it can be written as 311 + 9 + 75 + 219 + 48 + 313 + 313 .

It is a Duffinian number.

3972433 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3972395 and 3972404.

It is not an unprimeable number, because it can be changed into a prime (3972439) 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, 3433 + ... + 4441.

It is an arithmetic number, because the mean of its divisors is an integer number (517120).

Almost surely, 23972433 is an apocalyptic number.

It is an amenable number.

3972433 is a deficient number, since it is larger than the sum of its proper divisors (164527).

3972433 is a wasteful number, since it uses less digits than its factorization.

3972433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167.

The product of its digits is 13608, while the sum is 31.

The square root of 3972433 is about 1993.0963348519. The cubic root of 3972433 is about 158.3745985396.

The spelling of 3972433 in words is "three million, nine hundred seventy-two thousand, four hundred thirty-three".

Divisors: 1 31 127 1009 3937 31279 128143 3972433