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687094272 = 2933232161
BaseRepresentation
bin101000111101000…
…011101000000000
31202212220000011000
4220331003220000
52401344004042
6152102452000
723012130204
oct5075035000
91685800130
10687094272
11322935107
12172134000
13ac471077
1467378b04
15404c374c
hex28f43a00

687094272 has 160 divisors (see below), whose sum is σ = 2123256960. Its totient is φ = 218972160.

The previous prime is 687094271. The next prime is 687094273. The reversal of 687094272 is 272490786.

It is an interprime number because it is at equal distance from previous prime (687094271) and next prime (687094273).

It is not an unprimeable number, because it can be changed into a prime (687094271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316872 + ... + 319032.

It is an arithmetic number, because the mean of its divisors is an integer number (13270356).

Almost surely, 2687094272 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 687094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061628480).

687094272 is an abundant number, since it is smaller than the sum of its proper divisors (1436162688).

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

687094272 is a wasteful number, since it uses less digits than its factorization.

687094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 687094272 is about 26212.4831330418. The cubic root of 687094272 is about 882.4134301308.

The spelling of 687094272 in words is "six hundred eighty-seven million, ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2161 2208 2304 2484 2944 3312 3456 4322 4416 4608 4968 5888 6483 6624 6912 8644 8832 9936 11776 12966 13248 13824 17288 17664 19449 19872 25932 26496 34576 35328 38898 39744 49703 51864 52992 58347 69152 77796 79488 99406 103728 105984 116694 138304 149109 155592 158976 198812 207456 233388 276608 298218 311184 317952 397624 414912 447327 466776 553216 596436 622368 795248 829824 894654 933552 1106432 1192872 1244736 1341981 1590496 1659648 1789308 1867104 2385744 2489472 2683962 3180992 3319296 3578616 3734208 4771488 4978944 5367924 6361984 7157232 7468416 9542976 9957888 10735848 12723968 14314464 14936832 19085952 21471696 25447936 28628928 29873664 38171904 42943392 57257856 76343808 85886784 114515712 171773568 229031424 343547136 687094272