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88213513 = 3714916001
BaseRepresentation
bin1010100001000…
…00100000001001
320010222201012011
411100200200021
5140040313023
612430415521
72120542153
oct520404011
9203881164
1088213513
1145881133
12256615a1
1315377a5b
14ba03ad3
157b2750d
hex5420809

88213513 has 8 divisors (see below), whose sum is σ = 91211400. Its totient is φ = 85248000.

The previous prime is 88213483. The next prime is 88213519. The reversal of 88213513 is 31531288.

It can be written as a sum of positive squares in 4 ways, for example, as 27793984 + 60419529 = 5272^2 + 7773^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 88213513 - 29 = 88213001 is a prime.

It is a super-3 number, since 3×882135133 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88213519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2488 + ... + 13513.

It is an arithmetic number, because the mean of its divisors is an integer number (11401425).

Almost surely, 288213513 is an apocalyptic number.

It is an amenable number.

88213513 is a deficient number, since it is larger than the sum of its proper divisors (2997887).

88213513 is a wasteful number, since it uses less digits than its factorization.

88213513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16187.

The product of its digits is 5760, while the sum is 31.

The square root of 88213513 is about 9392.2049061975. The cubic root of 88213513 is about 445.1554614007.

The spelling of 88213513 in words is "eighty-eight million, two hundred thirteen thousand, five hundred thirteen".

Divisors: 1 37 149 5513 16001 592037 2384149 88213513