Search a number
-
+
6402456 = 233329641
BaseRepresentation
bin11000011011000110011000
3110001021112000
4120123012120
53114334311
6345121000
7105264024
oct30330630
913037460
106402456
113683295
122189160
131432248
14bc9384
15867056
hex61b198

6402456 has 32 divisors (see below), whose sum is σ = 17785200. Its totient is φ = 2134080.

The previous prime is 6402439. The next prime is 6402457. The reversal of 6402456 is 6542046.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402457) 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, 14605 + ... + 15036.

Almost surely, 26402456 is an apocalyptic number.

It is an amenable number.

6402456 is an abundant number, since it is smaller than the sum of its proper divisors (11382744).

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

6402456 is a wasteful number, since it uses less digits than its factorization.

6402456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29656 (or 29646 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6402456 is about 2530.3074911955. The cubic root of 6402456 is about 185.6872997701.

The spelling of 6402456 in words is "six million, four hundred two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 29641 59282 88923 118564 177846 237128 266769 355692 533538 711384 800307 1067076 1600614 2134152 3201228 6402456