Search a number
-
+
4672260630 = 23553076263
BaseRepresentation
bin1000101100111110…
…10000101000010110
3110001121200102200000
410112133100220112
534032044320010
62051342432130
7223532363052
oct42637205026
913047612600
104672260630
111a88407624
12aa4892646
13595c9aa7b
1432474ac62
151c52b87c0
hex1167d0a16

4672260630 has 96 divisors (see below), whose sum is σ = 12640852224. Its totient is φ = 1241679456.

The previous prime is 4672260629. The next prime is 4672260689. The reversal of 4672260630 is 360622764.

It is a happy number.

4672260630 is a `hidden beast` number, since 46 + 7 + 2 + 2 + 606 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742879 + ... + 749141.

It is an arithmetic number, because the mean of its divisors is an integer number (131675544).

Almost surely, 24672260630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672260630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320426112).

4672260630 is an abundant number, since it is smaller than the sum of its proper divisors (7968591594).

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

4672260630 is a wasteful number, since it uses less digits than its factorization.

4672260630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4672260630 is about 68353.9364630889. The cubic root of 4672260630 is about 1671.7667641952.

The spelling of 4672260630 in words is "four billion, six hundred seventy-two million, two hundred sixty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 307 405 486 614 810 921 1215 1535 1842 2430 2763 3070 4605 5526 6263 8289 9210 12526 13815 16578 18789 24867 27630 31315 37578 41445 49734 56367 62630 74601 82890 93945 112734 124335 149202 169101 187890 248670 281835 338202 373005 507303 563670 746010 845505 1014606 1521909 1691010 1922741 2536515 3043818 3845482 5073030 5768223 7609545 9613705 11536446 15219090 17304669 19227410 28841115 34609338 51914007 57682230 86523345 103828014 155742021 173046690 259570035 311484042 467226063 519140070 778710105 934452126 1557420210 2336130315 4672260630