Search a number
-
+
506747304 = 233274672153
BaseRepresentation
bin11110001101000…
…101100110101000
31022022112102121200
4132031011212220
52014211403204
6122141204200
715362165250
oct3615054650
91268472550
10506747304
11240055828
12121860660
1380ca829b
144b430960
152e74c539
hex1e3459a8

506747304 has 96 divisors (see below), whose sum is σ = 1572592320. Its totient is φ = 144407808.

The previous prime is 506747291. The next prime is 506747323. The reversal of 506747304 is 403747605.

It is a super-2 number, since 2×5067473042 = 513585660222536832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234292 + ... + 236444.

It is an arithmetic number, because the mean of its divisors is an integer number (16381170).

Almost surely, 2506747304 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 506747304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786296160).

506747304 is an abundant number, since it is smaller than the sum of its proper divisors (1065845016).

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

506747304 is a wasteful number, since it uses less digits than its factorization.

506747304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 506747304 is about 22511.0484873539. The cubic root of 506747304 is about 797.2548115336.

The spelling of 506747304 in words is "five hundred six million, seven hundred forty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 467 504 934 1401 1868 2153 2802 3269 3736 4203 4306 5604 6459 6538 8406 8612 9807 11208 12918 13076 15071 16812 17224 19377 19614 25836 26152 29421 30142 33624 38754 39228 45213 51672 58842 60284 77508 78456 90426 117684 120568 135639 155016 180852 235368 271278 361704 542556 1005451 1085112 2010902 3016353 4021804 6032706 7038157 8043608 9049059 12065412 14076314 18098118 21114471 24130824 28152628 36196236 42228942 56305256 63343413 72392472 84457884 126686826 168915768 253373652 506747304