Search a number
-
+
4724314540 = 22511234321713
BaseRepresentation
bin1000110011001011…
…10101000110101100
3110012020122001012121
410121211311012230
534133411031130
62100442242324
7225034003531
oct43145650654
913166561177
104724314540
112004830490
12aba1b63a4
135a39c4cba
1432b61ad88
151c9b4bd7a
hex1199751ac

4724314540 has 96 divisors (see below), whose sum is σ = 11556711936. Its totient is φ = 1604951040.

The previous prime is 4724314531. The next prime is 4724314547. The reversal of 4724314540 is 454134274.

It is a junction number, because it is equal to n+sod(n) for n = 4724314496 and 4724314505.

It is not an unprimeable number, because it can be changed into a prime (4724314547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206724 + ... + 228436.

It is an arithmetic number, because the mean of its divisors is an integer number (120382416).

Almost surely, 24724314540 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 4724314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778355968).

4724314540 is an abundant number, since it is smaller than the sum of its proper divisors (6832397396).

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

4724314540 is a wasteful number, since it uses less digits than its factorization.

4724314540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21799 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 4724314540 is about 68733.6492556593. The cubic root of 4724314540 is about 1677.9522645923.

The spelling of 4724314540 in words is "four billion, seven hundred twenty-four million, three hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 43 44 46 55 86 92 110 115 172 215 220 230 253 430 460 473 506 860 946 989 1012 1265 1892 1978 2365 2530 3956 4730 4945 5060 9460 9890 10879 19780 21713 21758 43426 43516 54395 86852 108565 108790 217130 217580 238843 434260 477686 499399 933659 955372 998798 1194215 1867318 1997596 2388430 2496995 3734636 4668295 4776860 4993990 5493389 9336590 9987980 10270249 10986778 18673180 20540498 21474157 21973556 27466945 41080996 42948314 51351245 54933890 85896628 102702490 107370785 109867780 205404980 214741570 236215727 429483140 472431454 944862908 1181078635 2362157270 4724314540