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287980896 = 25371014243
BaseRepresentation
bin10001001010100…
…011110101100000
3202001212221112010
4101022203311200
51042210342041
644324232520
710064540310
oct2112436540
9661787463
10287980896
11138615345
128053b740
13478801c8
142a365440
151a437a16
hex112a3d60

287980896 has 96 divisors (see below), whose sum is σ = 872702208. Its totient is φ = 81446400.

The previous prime is 287980873. The next prime is 287980937. The reversal of 287980896 is 698089782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65751 + ... + 69993.

It is an arithmetic number, because the mean of its divisors is an integer number (9090648).

Almost surely, 2287980896 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 287980896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436351104).

287980896 is an abundant number, since it is smaller than the sum of its proper divisors (584721312).

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

287980896 is a wasteful number, since it uses less digits than its factorization.

287980896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 287980896 is about 16969.9998821450. Note that the first 3 decimals coincide. The cubic root of 287980896 is about 660.3708476000.

The spelling of 287980896 in words is "two hundred eighty-seven million, nine hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4243 4848 5656 8484 8486 9696 11312 12729 16968 16972 22624 25458 29701 33936 33944 50916 59402 67872 67888 89103 101832 118804 135776 178206 203664 237608 356412 407328 428543 475216 712824 857086 950432 1285629 1425648 1714172 2571258 2851296 2999801 3428344 5142516 5999602 6856688 8999403 10285032 11999204 13713376 17998806 20570064 23998408 35997612 41140128 47996816 71995224 95993632 143990448 287980896