Search a number
-
+
87491313 = 3372135087
BaseRepresentation
bin1010011011100…
…00001011110001
320002122000112000
411031300023301
5134344210223
612403124213
72111443500
oct515601361
9202560460
1087491313
1145428578
1225373669
1315184110
14b896837
157a33543
hex53702f1

87491313 has 48 divisors (see below), whose sum is σ = 162408960. Its totient is φ = 46140192.

The previous prime is 87491297. The next prime is 87491323. The reversal of 87491313 is 31319478.

It is a happy number.

It is not a de Polignac number, because 87491313 - 24 = 87491297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87491323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14656 + ... + 19742.

It is an arithmetic number, because the mean of its divisors is an integer number (3383520).

Almost surely, 287491313 is an apocalyptic number.

It is an amenable number.

87491313 is a deficient number, since it is larger than the sum of its proper divisors (74917647).

87491313 is a wasteful number, since it uses less digits than its factorization.

87491313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5110 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 87491313 is about 9353.6791157277. The cubic root of 87491313 is about 443.9373085335.

The spelling of 87491313 in words is "eighty-seven million, four hundred ninety-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5087 5733 15261 17199 35609 45783 66131 106827 137349 198393 249263 320481 462917 595179 747789 961443 1388751 1785537 2243367 3240419 4166253 6730101 9721257 12498759 29163771 87491313