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6429696 = 210371323
BaseRepresentation
bin11000100001110000000000
3110002122212220
4120201300000
53121222241
6345451040
7105436320
oct30416000
913078786
106429696
1136a17a9
1221a0a80
131441770
14bd5280
15870166
hex621c00

6429696 has 176 divisors, whose sum is σ = 22009344. Its totient is φ = 1622016.

The previous prime is 6429691. The next prime is 6429697. The reversal of 6429696 is 6969246.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (139968) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6429691) 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, 279541 + ... + 279563.

Almost surely, 26429696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004672).

6429696 is an abundant number, since it is smaller than the sum of its proper divisors (15579648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6429696 is a wasteful number, since it uses less digits than its factorization.

6429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 6429696 is about 2535.6845229642. The cubic root of 6429696 is about 185.9502699748.

The spelling of 6429696 in words is "six million, four hundred twenty-nine thousand, six hundred ninety-six".