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4040542584 = 23321321917477
BaseRepresentation
bin1111000011010101…
…1100100101111000
3101102120222211102100
43300311130211320
531233334330314
61504534503400
7202062021351
oct36065344570
911376884370
104040542584
1117938654a1
12949204b60
134c5148200
142a48a8d28
15189ad2c09
hexf0d5c978

4040542584 has 144 divisors (see below), whose sum is σ = 12474048600. Its totient is φ = 1177742592.

The previous prime is 4040542567. The next prime is 4040542631. The reversal of 4040542584 is 4852450404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222454 + ... + 239930.

Almost surely, 24040542584 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 4040542584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237024300).

4040542584 is an abundant number, since it is smaller than the sum of its proper divisors (8433506016).

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

4040542584 is a wasteful number, since it uses less digits than its factorization.

4040542584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4040542584 is about 63565.2624001506. The cubic root of 4040542584 is about 1592.7461454871.

Adding to 4040542584 its reverse (4852450404), we get a palindrome (8892992988).

The spelling of 4040542584 in words is "four billion, forty million, five hundred forty-two thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 169 171 228 234 247 312 338 342 456 468 494 507 676 684 741 936 988 1014 1352 1368 1482 1521 1976 2028 2223 2964 3042 3211 4056 4446 5928 6084 6422 8892 9633 12168 12844 17477 17784 19266 25688 28899 34954 38532 52431 57798 69908 77064 104862 115596 139816 157293 209724 227201 231192 314586 332063 419448 454402 629172 664126 681603 908804 996189 1258344 1328252 1363206 1817608 1992378 2044809 2656504 2726412 2953613 2988567 3984756 4089618 4316819 5452824 5907226 5977134 7969512 8179236 8633638 8860839 11814452 11954268 12950457 16358472 17267276 17721678 23628904 23908536 25900914 26582517 34534552 35443356 38851371 51801828 53165034 56118647 70886712 77702742 103603656 106330068 112237294 155405484 168355941 212660136 224474588 310810968 336711882 448949176 505067823 673423764 1010135646 1346847528 2020271292 4040542584