Search a number
-
+
48279362796 = 22347137155381
BaseRepresentation
bin101100111101101011…
…001001110011101100
311121121200010202010000
4230331223021303230
51242334004102141
634102414144300
73326256545520
oct547553116354
9147550122100
1048279362796
1119525494935
1294347b2090
134725448cc2
14249ddd5d80
1513c87b65b6
hexb3dac9cec

48279362796 has 120 divisors (see below), whose sum is σ = 145295843616. Its totient is φ = 13693328640.

The previous prime is 48279362759. The next prime is 48279362819. The reversal of 48279362796 is 69726397284.

48279362796 is a `hidden beast` number, since 482 + 7 + 9 + 3 + 62 + 7 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233026 + ... + 388406.

Almost surely, 248279362796 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 48279362796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72647921808).

48279362796 is an abundant number, since it is smaller than the sum of its proper divisors (97016480820).

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

48279362796 is a wasteful number, since it uses less digits than its factorization.

48279362796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155541 (or 155530 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 48279362796 in words is "forty-eight billion, two hundred seventy-nine million, three hundred sixty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 137 162 189 252 274 324 378 411 548 567 756 822 959 1134 1233 1644 1918 2268 2466 2877 3699 3836 4932 5754 7398 8631 11097 11508 14796 17262 22194 25893 34524 44388 51786 77679 103572 155358 155381 310716 310762 466143 621524 932286 1087667 1398429 1864572 2175334 2796858 3263001 4195287 4350668 5593716 6526002 8390574 9789003 12585861 13052004 16781148 19578006 21287197 25171722 29367009 39156012 42574394 50343444 58734018 63861591 85148788 88101027 117468036 127723182 149010379 176202054 191584773 255446364 298020758 352404108 383169546 447031137 574754319 596041516 766339092 894062274 1149508638 1341093411 1724262957 1788124548 2299017276 2682186822 3448525914 4023280233 5364373644 6897051828 8046560466 12069840699 16093120932 24139681398 48279362796