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632846052 = 223273257937
BaseRepresentation
bin100101101110000…
…111011011100100
31122002210220120200
4211232013123210
52244002033202
6142444030500
721453050136
oct4556073344
91562726520
10632846052
112a5252673
12157b32430
13a1159127
1460097056
153a859e1c
hex25b876e4

632846052 has 72 divisors (see below), whose sum is σ = 1629654936. Its totient is φ = 207028224.

The previous prime is 632846041. The next prime is 632846089. The reversal of 632846052 is 250648236.

It can be written as a sum of positive squares in 4 ways, for example, as 134931456 + 497914596 = 11616^2 + 22314^2 .

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 = 632845998 and 632846016.

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, 674928 + ... + 675864.

Almost surely, 2632846052 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 632846052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814827468).

632846052 is an abundant number, since it is smaller than the sum of its proper divisors (996808884).

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

632846052 is a wasteful number, since it uses less digits than its factorization.

632846052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1272 counting only the distinct ones).

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

The square root of 632846052 is about 25156.4316229468. The cubic root of 632846052 is about 858.5508549613.

The spelling of 632846052 in words is "six hundred thirty-two million, eight hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 257 292 438 514 657 771 876 937 1028 1314 1542 1874 2313 2628 2811 3084 3748 4626 5622 8433 9252 11244 16866 18761 33732 37522 56283 68401 75044 112566 136802 168849 205203 225132 240809 273604 337698 410406 481618 615609 675396 722427 820812 963236 1231218 1444854 2167281 2462436 2889708 4334562 8669124 17579057 35158114 52737171 70316228 105474342 158211513 210948684 316423026 632846052