Search a number
-
+
42509328408 = 23324118179559
BaseRepresentation
bin100111100101110000…
…001110000000011000
311001201112210121221200
4213211300032000120
51144024342002113
631310054234200
73033264221031
oct474560160030
9131645717850
1042509328408
1117034453678
1282a4355960
134015bc9981
1420b3969a88
15118be56873
hex9e5c0e018

42509328408 has 96 divisors (see below), whose sum is σ = 118590544800. Its totient is φ = 13747622400.

The previous prime is 42509328371. The next prime is 42509328409. The reversal of 42509328408 is 80482390524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42509328409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494533 + ... + 574091.

It is an arithmetic number, because the mean of its divisors is an integer number (1235318175).

Almost surely, 242509328408 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 42509328408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59295272400).

42509328408 is an abundant number, since it is smaller than the sum of its proper divisors (76081216392).

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

42509328408 is a wasteful number, since it uses less digits than its factorization.

42509328408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79793 (or 79786 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42509328408 in words is "forty-two billion, five hundred nine million, three hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 181 246 328 362 369 492 543 724 738 984 1086 1448 1476 1629 2172 2952 3258 4344 6516 7421 13032 14842 22263 29684 44526 59368 66789 79559 89052 133578 159118 178104 238677 267156 318236 477354 534312 636472 716031 954708 1432062 1909416 2864124 3261919 5728248 6523838 9785757 13047676 14400179 19571514 26095352 28800358 29357271 39143028 43200537 57600716 58714542 78286056 86401074 115201432 117429084 129601611 172802148 234858168 259203222 345604296 518406444 590407339 1036812888 1180814678 1771222017 2361629356 3542444034 4723258712 5313666051 7084888068 10627332102 14169776136 21254664204 42509328408