Search a number
-
+
5273437824 = 27331679137
BaseRepresentation
bin1001110100101001…
…00100011010000000
3111121111220101202000
410322110210122000
541300000002244
62231140024000
7244452324204
oct47224443200
914544811660
105273437824
112266799986
121032092000
136606b9415
1438051cb04
1520ce6a169
hex13a524680

5273437824 has 128 divisors (see below), whose sum is σ = 15658876800. Its totient is φ = 1747095552.

The previous prime is 5273437817. The next prime is 5273437837. The reversal of 5273437824 is 4287343725.

5273437824 is a `hidden beast` number, since 5 + 273 + 4 + 378 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5273437824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572584 + ... + 581720.

It is an arithmetic number, because the mean of its divisors is an integer number (122334975).

Almost surely, 25273437824 is an apocalyptic number.

5273437824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5273437824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829438400).

5273437824 is an abundant number, since it is smaller than the sum of its proper divisors (10385438976).

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

5273437824 is a wasteful number, since it uses less digits than its factorization.

5273437824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9309 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 5273437824 is about 72618.4399722274. The cubic root of 5273437824 is about 1740.5958482522.

The spelling of 5273437824 in words is "five billion, two hundred seventy-three million, four hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 288 334 384 432 501 576 668 864 1002 1152 1336 1503 1728 2004 2672 3006 3456 4008 4509 5344 6012 8016 9018 9137 10688 12024 16032 18036 18274 21376 24048 27411 32064 36072 36548 48096 54822 64128 72144 73096 82233 96192 109644 144288 146192 164466 192384 219288 246699 288576 292384 328932 438576 493398 577152 584768 657864 877152 986796 1169536 1315728 1525879 1754304 1973592 2631456 3051758 3508608 3947184 4577637 5262912 6103516 7894368 9155274 10525824 12207032 13732911 15788736 18310548 24414064 27465822 31577472 36621096 41198733 48828128 54931644 73242192 82397466 97656256 109863288 146484384 164794932 195312512 219726576 292968768 329589864 439453152 585937536 659179728 878906304 1318359456 1757812608 2636718912 5273437824