Search a number
-
+
4905209430 = 23251110149057
BaseRepresentation
bin1001001000101111…
…11000111001010110
3110122212000110100100
410210113320321112
540021213200210
62130423354530
7232361410062
oct44427707126
913585013310
104905209430
1120979544a0
12b4a8b2a46
136023202b4
14347668aa2
151da9805c0
hex1245f8e56

4905209430 has 96 divisors (see below), whose sum is σ = 14050996128. Its totient is φ = 1177344000.

The previous prime is 4905209411. The next prime is 4905209431. The reversal of 4905209430 is 349025094.

4905209430 is a `hidden beast` number, since 4 + 90 + 520 + 9 + 43 + 0 = 666.

It is a super-2 number, since 2×49052094302 = 48122159104321849800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905209431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75462 + ... + 124518.

It is an arithmetic number, because the mean of its divisors is an integer number (146364543).

Almost surely, 24905209430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4905209430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025498064).

4905209430 is an abundant number, since it is smaller than the sum of its proper divisors (9145786698).

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

4905209430 is a wasteful number, since it uses less digits than its factorization.

4905209430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49182 (or 49179 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4905209430 is about 70037.2003295392. The cubic root of 4905209430 is about 1699.1009583067.

The spelling of 4905209430 in words is "four billion, nine hundred five million, two hundred nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 101 110 165 198 202 303 330 495 505 606 909 990 1010 1111 1515 1818 2222 3030 3333 4545 5555 6666 9090 9999 11110 16665 19998 33330 49057 49995 98114 99990 147171 245285 294342 441513 490570 539627 735855 883026 1079254 1471710 1618881 2207565 2698135 3237762 4415130 4856643 4954757 5396270 8094405 9713286 9909514 14864271 16188810 24283215 24773785 29728542 44592813 48566430 49547570 54502327 74321355 89185626 109004654 148642710 163506981 222964065 272511635 327013962 445928130 490520943 545023270 817534905 981041886 1635069810 2452604715 4905209430