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287996128 = 2572613011
BaseRepresentation
bin10001001010100…
…111100011100000
3202001220201102021
4101022213203200
51042211334003
644324431224
710064632600
oct2112474340
9661821367
10287996128
11138625832
1280548514
1347887114
142a36ac00
151a43c2bd
hex112a78e0

287996128 has 72 divisors (see below), whose sum is σ = 670597704. Its totient is φ = 121363200.

The previous prime is 287996113. The next prime is 287996141. The reversal of 287996128 is 821699782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94143 + ... + 97153.

It is an arithmetic number, because the mean of its divisors is an integer number (9313857).

Almost surely, 2287996128 is an apocalyptic number.

287996128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335298852).

287996128 is an abundant number, since it is smaller than the sum of its proper divisors (382601576).

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

287996128 is a wasteful number, since it uses less digits than its factorization.

287996128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3081 counting only the distinct ones).

The product of its digits is 870912, while the sum is 52.

The square root of 287996128 is about 16970.4486681997. The cubic root of 287996128 is about 660.3824902605.

The spelling of 287996128 in words is "two hundred eighty-seven million, nine hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 784 854 976 1568 1708 1952 2989 3011 3416 5978 6022 6832 11956 12044 13664 21077 23912 24088 42154 47824 48176 84308 95648 96352 147539 168616 183671 295078 337232 367342 590156 674464 734684 1180312 1285697 1469368 2360624 2571394 2938736 4721248 5142788 5877472 8999879 10285576 17999758 20571152 35999516 41142304 71999032 143998064 287996128