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289869372 = 2232131274877
BaseRepresentation
bin10001010001110…
…000111000111100
3202012102220000200
4101101300320330
51043201304442
644432523500
710116564132
oct2121607074
9665386020
10289869372
11139695171
12810b0590
1348091950
142a6d7752
151a6ac34c
hex11470e3c

289869372 has 72 divisors (see below), whose sum is σ = 795465216. Its totient is φ = 88470144.

The previous prime is 289869361. The next prime is 289869389. The reversal of 289869372 is 273968982.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 56998 + ... + 61874.

It is an arithmetic number, because the mean of its divisors is an integer number (11048128).

Almost surely, 2289869372 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 289869372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397732608).

289869372 is an abundant number, since it is smaller than the sum of its proper divisors (505595844).

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

289869372 is a wasteful number, since it uses less digits than its factorization.

289869372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5022 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 289869372 is about 17025.5505637850. The cubic root of 289869372 is about 661.8111959029.

The spelling of 289869372 in words is "two hundred eighty-nine million, eight hundred sixty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1524 1651 2286 3302 4572 4877 4953 6604 9754 9906 14631 14859 19508 19812 29262 29718 43893 58524 59436 63401 87786 126802 175572 190203 253604 380406 570609 619379 760812 1141218 1238758 1858137 2282436 2477516 3716274 5574411 7432548 8051927 11148822 16103854 22297644 24155781 32207708 48311562 72467343 96623124 144934686 289869372