Search a number
-
+
28923124624 = 24172412612
BaseRepresentation
bin11010111011111100…
…111101101110010000
32202122200221222001221
4122323330331232100
5433213304441444
621142002534424
72042512334332
oct327374755620
982580858057
1028923124624
11112a2393689
125732367414
13295c24cb34
141585409452
15b4430ea84
hex6bbf3db90

28923124624 has 135 divisors (see below), whose sum is σ = 62032843353. Its totient is φ = 13061222400.

The previous prime is 28923124577. The next prime is 28923124639. The reversal of 28923124624 is 42642132982.

It is a happy number.

The square root of 28923124624 is 170068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 28703136400 + 219988224 = 169420^2 + 14832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474149554 + ... + 474149614.

Almost surely, 228923124624 is an apocalyptic number.

28923124624 is the 170068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28923124624

28923124624 is an abundant number, since it is smaller than the sum of its proper divisors (33109718729).

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

28923124624 is an equidigital number, since it uses as much as digits as its factorization.

28923124624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The spelling of 28923124624 in words is "twenty-eight billion, nine hundred twenty-three million, one hundred twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 41 61 68 82 122 136 164 244 272 289 328 488 578 656 697 976 1037 1156 1394 1681 2074 2312 2501 2788 3362 3721 4148 4624 5002 5576 6724 7442 8296 10004 11152 11849 13448 14884 16592 17629 20008 23698 26896 28577 29768 35258 40016 42517 47396 57154 59536 63257 70516 85034 94792 102541 114308 126514 141032 152561 170068 189584 205082 228616 253028 282064 305122 340136 410164 457232 485809 506056 610244 680272 722789 820328 971618 1012112 1075369 1220488 1445578 1640656 1743197 1943236 2150738 2440976 2593537 2891156 3486394 3886472 4301476 5187074 5782312 6255001 6972788 7772944 8602952 10374148 11564624 12510002 13945576 17205904 20748296 25020004 27891152 29634349 41496592 44090129 50040008 59268698 88180258 100080016 106335017 118537396 176360516 212670034 237074792 352721032 425340068 474149584 705442064 850680136 1701360272 1807695289 3615390578 7230781156 14461562312 28923124624