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646823052 = 223241593739
BaseRepresentation
bin100110100011011…
…011110010001100
31200002010000102100
4212203123302030
52311041314202
6144103355100
722012622331
oct4643336214
91602100370
10646823052
11302129807
12160752a90
13a4010c45
1461c94988
153bbbb41c
hex268dbc8c

646823052 has 72 divisors (see below), whose sum is σ = 1679998320. Its totient is φ = 209710080.

The previous prime is 646823041. The next prime is 646823053. The reversal of 646823052 is 250328646.

646823052 is a `hidden beast` number, since 646 + 8 + 2 + 3 + 0 + 5 + 2 = 666.

646823052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 646822998 and 646823016.

It is not an unprimeable number, because it can be changed into a prime (646823053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874899 + ... + 875637.

It is an arithmetic number, because the mean of its divisors is an integer number (23333310).

Almost surely, 2646823052 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 646823052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839999160).

646823052 is an abundant number, since it is smaller than the sum of its proper divisors (1033175268).

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

646823052 is a wasteful number, since it uses less digits than its factorization.

646823052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 646823052 is about 25432.7161742508. The cubic root of 646823052 is about 864.8255195093.

The spelling of 646823052 in words is "six hundred forty-six million, eight hundred twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 593 738 739 1186 1476 1478 1779 2217 2372 2956 3558 4434 5337 6651 7116 8868 10674 13302 21348 24313 26604 30299 48626 60598 72939 90897 97252 121196 145878 181794 218817 272691 291756 363588 437634 438227 545382 875268 876454 1090764 1314681 1752908 2629362 3944043 5258724 7888086 15776172 17967307 35934614 53901921 71869228 107803842 161705763 215607684 323411526 646823052