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87668224 = 29761401
BaseRepresentation
bin1010011100110…
…11011000000000
320002222000012021
411032123120000
5134420340344
612411011224
72113111330
oct516333000
9202860167
1087668224
1145539486
1225439b14
13152167b7
14b9010c0
157a6ab84
hex539b600

87668224 has 80 divisors (see below), whose sum is σ = 203978016. Its totient is φ = 36864000.

The previous prime is 87668221. The next prime is 87668233. The reversal of 87668224 is 42286678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87668221) 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 7 ways as a sum of consecutive naturals, for example, 218424 + ... + 218824.

Almost surely, 287668224 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 87668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101989008).

87668224 is an abundant number, since it is smaller than the sum of its proper divisors (116309792).

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

87668224 is an equidigital number, since it uses as much as digits as its factorization.

87668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 87668224 is about 9363.1311002250. The cubic root of 87668224 is about 444.2363268574.

The spelling of 87668224 in words is "eighty-seven million, six hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 401 427 448 488 512 802 854 896 976 1604 1708 1792 1952 2807 3208 3416 3584 3904 5614 6416 6832 7808 11228 12832 13664 15616 22456 24461 25664 27328 31232 44912 48922 51328 54656 89824 97844 102656 109312 171227 179648 195688 205312 218624 342454 359296 391376 684908 718592 782752 1369816 1437184 1565504 2739632 3131008 5479264 6262016 10958528 12524032 21917056 43834112 87668224