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287070672 = 24372833019
BaseRepresentation
bin10001000111000…
…101100111010000
3202000011200221010
4101013011213100
51041442230142
644252530520
710054026510
oct2107054720
9660150833
10287070672
11138053499
1280180a40
1347621b05
142a1a9840
151a307e9c
hex111c59d0

287070672 has 80 divisors (see below), whose sum is σ = 850818560. Its totient is φ = 81703296.

The previous prime is 287070629. The next prime is 287070683. The reversal of 287070672 is 276070782.

It is a self number, because there is not a number n which added to its sum of digits gives 287070672.

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, 93579 + ... + 96597.

It is an arithmetic number, because the mean of its divisors is an integer number (10635232).

Almost surely, 2287070672 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 287070672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425409280).

287070672 is an abundant number, since it is smaller than the sum of its proper divisors (563747888).

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

287070672 is a wasteful number, since it uses less digits than its factorization.

287070672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 287070672 is about 16943.1600358375. The cubic root of 287070672 is about 659.6743664531.

The spelling of 287070672 in words is "two hundred eighty-seven million, seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 283 336 566 849 1132 1698 1981 2264 3019 3396 3962 4528 5943 6038 6792 7924 9057 11886 12076 13584 15848 18114 21133 23772 24152 31696 36228 42266 47544 48304 63399 72456 84532 95088 126798 144912 169064 253596 338128 507192 854377 1014384 1708754 2563131 3417508 5126262 5980639 6835016 10252524 11961278 13670032 17941917 20505048 23922556 35883834 41010096 47845112 71767668 95690224 143535336 287070672