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87491248 = 241317109227
BaseRepresentation
bin1010011011100…
…00001010110000
320002122000102121
411031300022300
5134344204443
612403124024
72111443345
oct515601260
9202560377
1087491248
1145428519
1225373614
1315184090
14b8967cc
157a334ed
hex53702b0

87491248 has 80 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 37490688.

The previous prime is 87491177. The next prime is 87491249. The reversal of 87491248 is 84219478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87491249) 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, 385311 + ... + 385537.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 287491248 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 87491248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

87491248 is an abundant number, since it is smaller than the sum of its proper divisors (108433712).

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

87491248 is a wasteful number, since it uses less digits than its factorization.

87491248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 87491248 is about 9353.6756411584. The cubic root of 87491248 is about 443.9371985952.

The spelling of 87491248 in words is "eighty-seven million, four hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 109 136 208 218 221 227 272 436 442 454 872 884 908 1417 1744 1768 1816 1853 2834 2951 3536 3632 3706 3859 5668 5902 7412 7718 11336 11804 14824 15436 22672 23608 24089 24743 29648 30872 47216 48178 49486 50167 61744 96356 98972 100334 192712 197944 200668 321659 385424 395888 401336 420631 643318 802672 841262 1286636 1682524 2573272 3365048 5146544 5468203 6730096 10936406 21872812 43745624 87491248