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289113936 = 24331331587
BaseRepresentation
bin10001001110111…
…000011101010000
3202011000111202120
4101032320131100
51043003121221
644404414240
710110266526
oct2116703520
9664014676
10289113936
11139219641
12809a7380
1347b88b47
142a57c316
151a5ad5c6
hex113b8750

289113936 has 80 divisors (see below), whose sum is σ = 774617088. Its totient is φ = 92822400.

The previous prime is 289113901. The next prime is 289113943. The reversal of 289113936 is 639311982.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 492235 + ... + 492821.

Almost surely, 2289113936 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 289113936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387308544).

289113936 is an abundant number, since it is smaller than the sum of its proper divisors (485503152).

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

289113936 is a wasteful number, since it uses less digits than its factorization.

289113936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 289113936 is about 17003.3507286064. The cubic root of 289113936 is about 661.2357746995.

The spelling of 289113936 in words is "two hundred eighty-nine million, one hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 331 372 496 587 662 744 993 1174 1324 1488 1761 1986 2348 2648 3522 3972 4696 5296 7044 7944 9392 10261 14088 15888 18197 20522 28176 30783 36394 41044 54591 61566 72788 82088 109182 123132 145576 164176 194297 218364 246264 291152 388594 436728 492528 582891 777188 873456 1165782 1554376 2331564 3108752 4663128 6023207 9326256 12046414 18069621 24092828 36139242 48185656 72278484 96371312 144556968 289113936