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6404772 = 223113401
BaseRepresentation
bin11000011011101010100100
3110001101200210
4120123222210
53114423042
6345135420
7105303543
oct30335244
913041623
106404772
113685000
12218a570
13143330a
14bca15a
15867a9c
hex61baa4

6404772 has 48 divisors (see below), whose sum is σ = 16478784. Its totient is φ = 1936000.

The previous prime is 6404771. The next prime is 6404773. The reversal of 6404772 is 2774046.

It is an interprime number because it is at equal distance from previous prime (6404771) and next prime (6404773).

It is a super-2 number, since 2×64047722 = 82042208743968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6404771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15772 + ... + 16172.

It is an arithmetic number, because the mean of its divisors is an integer number (343308).

Almost surely, 26404772 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 6404772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239392).

6404772 is an abundant number, since it is smaller than the sum of its proper divisors (10074012).

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

6404772 is a wasteful number, since it uses less digits than its factorization.

6404772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 6404772 is about 2530.7651017034. The cubic root of 6404772 is about 185.7096870093.

The spelling of 6404772 in words is "six million, four hundred four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 401 484 726 802 1203 1331 1452 1604 2406 2662 3993 4411 4812 5324 7986 8822 13233 15972 17644 26466 48521 52932 97042 145563 194084 291126 533731 582252 1067462 1601193 2134924 3202386 6404772