Search a number
-
+
949468230 = 23451497867
BaseRepresentation
bin111000100101111…
…011110001000110
32110011120222120000
4320211323301012
53421030440410
6234114222130
732346226644
oct7045736106
92404528500
10949468230
11447a4a597
12225b84946
13121926a29
1490156194
155854ddc0
hex3897bc46

949468230 has 80 divisors (see below), whose sum is σ = 2570475600. Its totient is φ = 251460288.

The previous prime is 949468213. The next prime is 949468237. The reversal of 949468230 is 32864949.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949468237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116757 + ... + 124623.

It is an arithmetic number, because the mean of its divisors is an integer number (32130945).

Almost surely, 2949468230 is an apocalyptic number.

949468230 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 949468230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285237800).

949468230 is an abundant number, since it is smaller than the sum of its proper divisors (1621007370).

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

949468230 is a wasteful number, since it uses less digits than its factorization.

949468230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 949468230 is about 30813.4423588148. The cubic root of 949468230 is about 982.8641153769.

The spelling of 949468230 in words is "nine hundred forty-nine million, four hundred sixty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 1341 1490 2235 2682 4023 4470 6705 7867 8046 12069 13410 15734 20115 23601 24138 39335 40230 47202 60345 70803 78670 118005 120690 141606 212409 236010 354015 424818 637227 708030 1062045 1172183 1274454 2124090 2344366 3186135 3516549 5860915 6372270 7033098 10549647 11721830 17582745 21099294 31648941 35165490 52748235 63297882 94946823 105496470 158244705 189893646 316489410 474734115 949468230