Search a number
-
+
463628052 = 223219167427
BaseRepresentation
bin11011101000100…
…110011100010100
31012022101202010100
4123220212130110
51422142044202
6114001054100
714326526166
oct3350463424
91168352110
10463628052
11218784688
1210b327330
137508ba34
1445808936
152aa8141c
hex1ba26714

463628052 has 36 divisors (see below), whose sum is σ = 1178102016. Its totient is φ = 153731280.

The previous prime is 463628051. The next prime is 463628057. The reversal of 463628052 is 250826364.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 463627998 and 463628016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463628051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26838 + ... + 40589.

It is an arithmetic number, because the mean of its divisors is an integer number (32725056).

Almost surely, 2463628052 is an apocalyptic number.

It is an amenable number.

463628052 is an abundant number, since it is smaller than the sum of its proper divisors (714473964).

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

463628052 is a wasteful number, since it uses less digits than its factorization.

463628052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67628 (or 67623 counting only the distinct ones).

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

The square root of 463628052 is about 21532.0238714339. The cubic root of 463628052 is about 773.9684100642.

The spelling of 463628052 in words is "four hundred sixty-three million, six hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 67427 134854 202281 269708 404562 606843 809124 1213686 2427372 12878557 25757114 38635671 51514228 77271342 115907013 154542684 231814026 463628052