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287482272 = 25371138891
BaseRepresentation
bin10001001000101…
…010000110100000
3202000221121112120
4101020222012200
51042043413042
644305424240
710060362510
oct2110520640
9660847476
10287482272
11138304760
128033b080
134773726c
142a275840
151a389dec
hex1122a1a0

287482272 has 96 divisors (see below), whose sum is σ = 940875264. Its totient is φ = 74668800.

The previous prime is 287482271. The next prime is 287482289. The reversal of 287482272 is 272284782.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (287482271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12054 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (9800784).

Almost surely, 2287482272 is an apocalyptic number.

287482272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

287482272 is an abundant number, since it is smaller than the sum of its proper divisors (653392992).

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

287482272 is a wasteful number, since it uses less digits than its factorization.

287482272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38922 (or 38914 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 287482272 is about 16955.3021795543. The cubic root of 287482272 is about 659.9894947823.

The spelling of 287482272 in words is "two hundred eighty-seven million, four hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 38891 77782 116673 155564 233346 272237 311128 427801 466692 544474 622256 816711 855602 933384 1088948 1244512 1283403 1633422 1711204 1866768 2177896 2566806 2994607 3266844 3422408 3733536 4355792 5133612 5989214 6533688 6844816 8711584 8983821 10267224 11978428 13067376 13689632 17967642 20534448 23956856 26134752 35935284 41068896 47913712 71870568 95827424 143741136 287482272