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8482388136 = 2331726718253
BaseRepresentation
bin1111110011001011…
…01111100010101000
3210220011002222000120
413321211233202220
5114332442410021
63521411003240
7420126052365
oct77145574250
923804088016
108482388136
1136630a5832
121788899520
13a5246caa1
145a679746c
15349a352c6
hex1f996f8a8

8482388136 has 96 divisors (see below), whose sum is σ = 22864230240. Its totient is φ = 2621279232.

The previous prime is 8482388087. The next prime is 8482388137. The reversal of 8482388136 is 6318832848.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8482388137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455586 + ... + 473838.

It is an arithmetic number, because the mean of its divisors is an integer number (238169065).

Almost surely, 28482388136 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 8482388136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11432115120).

8482388136 is an abundant number, since it is smaller than the sum of its proper divisors (14381842104).

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

8482388136 is a wasteful number, since it uses less digits than its factorization.

8482388136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18363 (or 18342 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 8482388136 is about 92099.8813028551. The cubic root of 8482388136 is about 2039.4170556576.

The spelling of 8482388136 in words is "eight billion, four hundred eighty-two million, three hundred eighty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 289 402 408 536 578 804 867 1139 1156 1608 1734 2278 2312 3417 3468 4556 6834 6936 9112 13668 18253 19363 27336 36506 38726 54759 58089 73012 77452 109518 116178 146024 154904 219036 232356 310301 438072 464712 620602 930903 1222951 1241204 1861806 2445902 2482408 3668853 3723612 4891804 5275117 7337706 7447224 9783608 10550234 14675412 15825351 20790167 21100468 29350824 31650702 41580334 42200936 62370501 63301404 83160668 124741002 126602808 166321336 249482004 353432839 498964008 706865678 1060298517 1413731356 2120597034 2827462712 4241194068 8482388136