Search a number
-
+
4690440964 = 22111723926237
BaseRepresentation
bin1000101111001001…
…00111001100000100
3110002212220002101201
410113210213030010
534101223102324
62053232232244
7224143042666
oct42744471404
913085802351
104690440964
111a976a47a0
12aaa99b684
13599994b71
14326d20536
151c6baa444
hex117927304

4690440964 has 48 divisors (see below), whose sum is σ = 9521245440. Its totient is φ = 1998133760.

The previous prime is 4690440961. The next prime is 4690441013.

4690440964 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4690440961) 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, 165654 + ... + 191890.

It is an arithmetic number, because the mean of its divisors is an integer number (198359280).

Almost surely, 24690440964 is an apocalyptic number.

4690440964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4690440964 is an abundant number, since it is smaller than the sum of its proper divisors (4830804476).

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

4690440964 is a wasteful number, since it uses less digits than its factorization.

4690440964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26508 (or 26506 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 4690440964 is about 68486.7940846993. The cubic root of 4690440964 is about 1673.9323070471.

The spelling of 4690440964 in words is "four billion, six hundred ninety million, four hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 239 374 478 748 956 2629 4063 5258 8126 10516 16252 26237 44693 52474 89386 104948 178772 288607 446029 577214 892058 1154428 1784116 4906319 6270643 9812638 12541286 19625276 25082572 68977073 106600931 137954146 213201862 275908292 426403724 1172610241 2345220482 4690440964