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620649216 = 283511907
BaseRepresentation
bin100100111111100…
…101101100000000
31121020212020200000
4210333211230000
52232341233331
6141330400000
721244300635
oct4477455400
91536766600
10620649216
11299381a40
12153a30000
139b778675
145c60018c
153974b0e6
hex24fe5b00

620649216 has 216 divisors, whose sum is σ = 2026699584. Its totient is φ = 187868160.

The previous prime is 620649199. The next prime is 620649251. The reversal of 620649216 is 612946026.

620649216 is a `hidden beast` number, since 6 + 2 + 0 + 649 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683835 + ... + 684741.

Almost surely, 2620649216 is an apocalyptic number.

620649216 is a gapful number since it is divisible by the number (66) 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 620649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013349792).

620649216 is an abundant number, since it is smaller than the sum of its proper divisors (1406050368).

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

620649216 is an equidigital number, since it uses as much as digits as its factorization.

620649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 620649216 is about 24912.8323560369. The cubic root of 620649216 is about 852.9994223084. Note that the first 3 decimals are identical.

The spelling of 620649216 in words is "six hundred twenty million, six hundred forty-nine thousand, two hundred sixteen".