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2442838986 = 23472717949
BaseRepresentation
bin1001000110011010…
…1100001111001010
320022020122002010000
42101212230033022
520000331321421
61042222303430
7114351534360
oct22146541712
96266562100
102442838986
111043a120a5
12582127b76
132cc137773
14192611630
15e46d9226
hex919ac3ca

2442838986 has 80 divisors (see below), whose sum is σ = 6279609600. Its totient is φ = 695291040.

The previous prime is 2442838969. The next prime is 2442839017. The reversal of 2442838986 is 6898382442.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 303340 + ... + 311288.

It is an arithmetic number, because the mean of its divisors is an integer number (78495120).

Almost surely, 22442838986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442838986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139804800).

2442838986 is an abundant number, since it is smaller than the sum of its proper divisors (3836770614).

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

2442838986 is a wasteful number, since it uses less digits than its factorization.

2442838986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8232 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2442838986 is about 49425.0845826287. The cubic root of 2442838986 is about 1346.7850312451.

The spelling of 2442838986 in words is "two billion, four hundred forty-two million, eight hundred thirty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 271 378 542 567 813 1134 1626 1897 2439 3794 4878 5691 7317 7949 11382 14634 15898 17073 21951 23847 34146 43902 47694 51219 55643 71541 102438 111286 143082 153657 166929 214623 307314 333858 429246 500787 643869 1001574 1287738 1502361 2154179 3004722 4308358 4507083 6462537 9014166 12925074 15079253 19387611 30158506 38775222 45237759 58162833 90475518 116325666 135713277 174488499 271426554 348976998 407139831 814279662 1221419493 2442838986