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8000628 = 2231036473
BaseRepresentation
bin11110100001010001110100
3120001110210120
4132201101310
54022010003
6443251540
7125001306
oct36412164
916043716
108000628
114574a99
122819bb0
1318717cc
1410c3976
15a80853
hex7a1474

8000628 has 24 divisors (see below), whose sum is σ = 18852288. Its totient is φ = 2640576.

The previous prime is 8000627. The next prime is 8000633. The reversal of 8000628 is 8260008.

It is a junction number, because it is equal to n+sod(n) for n = 8000598 and 8000607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000627) 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 7 ways as a sum of consecutive naturals, for example, 2001 + ... + 4472.

It is an arithmetic number, because the mean of its divisors is an integer number (785512).

Almost surely, 28000628 is an apocalyptic number.

It is an amenable number.

8000628 is an abundant number, since it is smaller than the sum of its proper divisors (10851660).

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

8000628 is a wasteful number, since it uses less digits than its factorization.

8000628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8000628 is about 2828.5381383322. The cubic root of 8000628 is about 200.0052331964.

The spelling of 8000628 in words is "eight million, six hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 103 206 309 412 618 1236 6473 12946 19419 25892 38838 77676 666719 1333438 2000157 2666876 4000314 8000628