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646620480 = 263251120411
BaseRepresentation
bin100110100010101…
…010010101000000
31200001201201112200
4212202222111000
52311013323410
6144055153200
722011116622
oct4642522500
91601651480
10646620480
113020005a0
12160675800
13a3c6c98c
1461c40c12
153bb7b3c0
hex268aa540

646620480 has 168 divisors, whose sum is σ = 2426415264. Its totient is φ = 156748800.

The previous prime is 646620467. The next prime is 646620487. The reversal of 646620480 is 84026646.

It is a happy number.

646620480 is a `hidden beast` number, since 646 + 6 + 2 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646620487) 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 23 ways as a sum of consecutive naturals, for example, 21475 + ... + 41885.

It is an arithmetic number, because the mean of its divisors is an integer number (14442948).

Almost surely, 2646620480 is an apocalyptic number.

646620480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213207632).

646620480 is an abundant number, since it is smaller than the sum of its proper divisors (1779794784).

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

646620480 is a wasteful number, since it uses less digits than its factorization.

646620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20445 (or 20432 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 646620480 is about 25428.7333542196. The cubic root of 646620480 is about 864.7352280835.

It can be divided in two parts, 646 and 620480, that added together give a palindrome (621126).

The spelling of 646620480 in words is "six hundred forty-six million, six hundred twenty thousand, four hundred eighty".