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628010040 = 23357193109
BaseRepresentation
bin100101011011101…
…010110000111000
31121202201012211010
4211123222300320
52241232310130
6142152233520
721363666030
oct4533526070
91552635733
10628010040
112a254a269
1215639b8a0
13a0154b98
145d5988c0
153a2020b0
hex256eac38

628010040 has 256 divisors, whose sum is σ = 2293632000. Its totient is φ = 134742528.

The previous prime is 628010027. The next prime is 628010041. The reversal of 628010040 is 40010826.

628010040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6280100402 = 788793220681603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 628009989 and 628010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628010041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5761506 + ... + 5761614.

It is an arithmetic number, because the mean of its divisors is an integer number (8959500).

Almost surely, 2628010040 is an apocalyptic number.

628010040 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 628010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146816000).

628010040 is an abundant number, since it is smaller than the sum of its proper divisors (1665621960).

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

628010040 is a wasteful number, since it uses less digits than its factorization.

628010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 628010040 is about 25060.1284912907. The cubic root of 628010040 is about 856.3583347041.

Adding to 628010040 its reverse (40010826), we get a palindrome (668020866).

The spelling of 628010040 in words is "six hundred twenty-eight million, ten thousand, forty".