Search a number
-
+
4962923472 = 24313109131557
BaseRepresentation
bin1001001111101000…
…00011001111010000
3110210212121122010110
410213310003033100
540131002022342
62140244401320
7233662103433
oct44764031720
913725548113
104962923472
112117493951
12b660a6240
13611279910
143511ad81a
151e0a80c9c
hex127d033d0

4962923472 has 160 divisors (see below), whose sum is σ = 14065349760. Its totient is φ = 1498798080.

The previous prime is 4962923447. The next prime is 4962923513. The reversal of 4962923472 is 2743292694.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8909818 + ... + 8910374.

It is an arithmetic number, because the mean of its divisors is an integer number (87908436).

Almost surely, 24962923472 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 4962923472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032674880).

4962923472 is an abundant number, since it is smaller than the sum of its proper divisors (9102426288).

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

4962923472 is a wasteful number, since it uses less digits than its factorization.

4962923472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 4962923472 is about 70448.0196456934. The cubic root of 4962923472 is about 1705.7387913491.

The spelling of 4962923472 in words is "four billion, nine hundred sixty-two million, nine hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 131 156 208 218 262 312 327 393 436 524 557 624 654 786 872 1048 1114 1308 1417 1572 1671 1703 1744 2096 2228 2616 2834 3144 3342 3406 4251 4456 5109 5232 5668 6288 6684 6812 7241 8502 8912 10218 11336 13368 13624 14279 14482 17004 20436 21723 22672 26736 27248 28558 28964 34008 40872 42837 43446 57116 57928 60713 68016 72967 81744 85674 86892 114232 115856 121426 145934 171348 173784 182139 185627 218901 228464 242852 291868 342696 347568 364278 371254 437802 485704 556881 583736 685392 728556 742508 789269 875604 948571 971408 1113762 1167472 1457112 1485016 1578538 1751208 1897142 2227524 2367807 2845713 2914224 2970032 3157076 3502416 3794284 4455048 4735614 5691426 6314152 7588568 7953403 8910096 9471228 11382852 12628304 15177136 15906806 18942456 22765704 23860209 31813612 37884912 45531408 47720418 63627224 95440836 103394239 127254448 190881672 206788478 310182717 381763344 413576956 620365434 827153912 1240730868 1654307824 2481461736 4962923472