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6464480 = 255113673
BaseRepresentation
bin11000101010001111100000
3110011102121012
4120222033200
53123330410
6350320052
7105642611
oct30521740
913142535
106464480
113715950
1221b9028
131454549
14c03c08
1587a605
hex62a3e0

6464480 has 48 divisors (see below), whose sum is σ = 16665264. Its totient is φ = 2350080.

The previous prime is 6464431. The next prime is 6464483. The reversal of 6464480 is 844646.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464483) 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, 77 + ... + 3596.

It is an arithmetic number, because the mean of its divisors is an integer number (347193).

Almost surely, 26464480 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 6464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332632).

6464480 is an abundant number, since it is smaller than the sum of its proper divisors (10200784).

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

6464480 is a wasteful number, since it uses less digits than its factorization.

6464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 6464480 is about 2542.5341688953. The cubic root of 6464480 is about 186.2849910985.

The spelling of 6464480 in words is "six million, four hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 3673 7346 14692 18365 29384 36730 40403 58768 73460 80806 117536 146920 161612 202015 293840 323224 404030 587680 646448 808060 1292896 1616120 3232240 6464480