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2389287136 = 25374183593
BaseRepresentation
bin1000111001101001…
…1010000011100000
320011111212100210011
42032122122003200
514343124142021
61033030414304
7113131414465
oct21632320340
96144770704
102389287136
111016765875
12568201394
132c1007792
1418947166c
15deb5bde1
hex8e69a0e0

2389287136 has 96 divisors (see below), whose sum is σ = 5016943008. Its totient is φ = 1118453760.

The previous prime is 2389287133. The next prime is 2389287137. The reversal of 2389287136 is 6317829832.

Its product of digits (870912) is a multiple of the sum of its prime divisors (756).

It is a self number, because there is not a number n which added to its sum of digits gives 2389287136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389287133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4028856 + ... + 4029448.

It is an arithmetic number, because the mean of its divisors is an integer number (52259823).

Almost surely, 22389287136 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 2389287136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508471504).

2389287136 is an abundant number, since it is smaller than the sum of its proper divisors (2627655872).

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

2389287136 is a wasteful number, since it uses less digits than its factorization.

2389287136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 2389287136 is about 48880.3348597368. The cubic root of 2389287136 is about 1336.8708331599.

The spelling of 2389287136 in words is "two billion, three hundred eighty-nine million, two hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 41 74 82 83 148 164 166 296 328 332 592 593 656 664 1184 1186 1312 1328 1517 2372 2656 3034 3071 3403 4744 6068 6142 6806 9488 12136 12284 13612 18976 21941 24272 24313 24568 27224 43882 48544 48626 49136 49219 54448 87764 97252 98272 98438 108896 125911 175528 194504 196876 251822 351056 389008 393752 503644 702112 778016 787504 899581 1007288 1575008 1799162 1821103 2014576 2017979 3598324 3642206 4029152 4035958 7196648 7284412 8071916 14393296 14568824 16143832 28786592 29137648 32287664 58275296 64575328 74665223 149330446 298660892 597321784 1194643568 2389287136