Search a number
-
+
4959630 = 235513157
BaseRepresentation
bin10010111010110110001110
3100022222100000
4102322312032
52232202010
6254145130
760104364
oct22726616
910288300
104959630
112888275
1217b21a6
1310485c0
14931634
1567e7c0
hex4bad8e

4959630 has 96 divisors (see below), whose sum is σ = 14493024. Its totient is φ = 1213056.

The previous prime is 4959593. The next prime is 4959637. The reversal of 4959630 is 369594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31512 + ... + 31668.

It is an arithmetic number, because the mean of its divisors is an integer number (150969).

Almost surely, 24959630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4959630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246512).

4959630 is an abundant number, since it is smaller than the sum of its proper divisors (9533394).

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

4959630 is a wasteful number, since it uses less digits than its factorization.

4959630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4959630 is about 2227.0226761306. The cubic root of 4959630 is about 170.5361389728.

Subtracting from 4959630 its sum of digits (36), we obtain a palindrome (4959594).

The spelling of 4959630 in words is "four million, nine hundred fifty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 157 162 195 234 243 270 314 351 390 405 471 486 585 702 785 810 942 1053 1170 1215 1413 1570 1755 2041 2106 2355 2430 2826 3159 3510 4082 4239 4710 5265 6123 6318 7065 8478 10205 10530 12246 12717 14130 15795 18369 20410 21195 25434 30615 31590 36738 38151 42390 55107 61230 63585 76302 91845 110214 127170 165321 183690 190755 275535 330642 381510 495963 551070 826605 991926 1653210 2479815 4959630