Search a number
-
+
4624728332 = 227416760127
BaseRepresentation
bin1000100111010011…
…11100000100001100
3102221022020112121112
410103221330010030
533432412301312
62042523551152
7222414353660
oct42351740414
912838215545
104624728332
111a635a1934
12a9098b4b8
13589197953
1431c2d68a0
151c1029d22
hex113a7c10c

4624728332 has 48 divisors (see below), whose sum is σ = 9616631808. Its totient is φ = 1904791680.

The previous prime is 4624728323. The next prime is 4624728337. The reversal of 4624728332 is 2338274264.

It is a super-2 number, since 2×46247283322 = 42776224289607004448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 4624728332.

It is not an unprimeable number, because it can be changed into a prime (4624728337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46853 + ... + 106979.

It is an arithmetic number, because the mean of its divisors is an integer number (200346496).

Almost surely, 24624728332 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 4624728332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808315904).

4624728332 is an abundant number, since it is smaller than the sum of its proper divisors (4991903476).

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

4624728332 is a wasteful number, since it uses less digits than its factorization.

4624728332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60246 (or 60244 counting only the distinct ones).

The product of its digits is 387072, while the sum is 41.

The square root of 4624728332 is about 68005.3551714863. The cubic root of 4624728332 is about 1666.0783032727.

The spelling of 4624728332 in words is "four billion, six hundred twenty-four million, seven hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 67 82 134 164 268 287 469 574 938 1148 1876 2747 5494 10988 19229 38458 60127 76916 120254 240508 420889 841778 1683556 2465207 4028509 4930414 8057018 9860828 16114036 17256449 28199563 34512898 56399126 69025796 112798252 165168869 330337738 660675476 1156182083 2312364166 4624728332