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87962440 = 2352199061
BaseRepresentation
bin1010011111000…
…11001101001000
320010111221210011
411033203031020
5140004244230
612421201304
72115445156
oct517431510
9203457704
1087962440
114571a535
1225560234
13152ba6a7
14b97a3d6
157ac7e2a
hex53e3348

87962440 has 16 divisors (see below), whose sum is σ = 197915580. Its totient is φ = 35184960.

The previous prime is 87962429. The next prime is 87962447. The reversal of 87962440 is 4426978.

It can be written as a sum of positive squares in 2 ways, for example, as 87497316 + 465124 = 9354^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2199061 = 87962440 / (8 + 7 + 9 + 6 + 2 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 87962393 and 87962402.

It is not an unprimeable number, because it can be changed into a prime (87962447) 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 3 ways as a sum of consecutive naturals, for example, 1099491 + ... + 1099570.

Almost surely, 287962440 is an apocalyptic number.

It is an amenable number.

87962440 is an abundant number, since it is smaller than the sum of its proper divisors (109953140).

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

87962440 is a wasteful number, since it uses less digits than its factorization.

87962440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199072 (or 2199068 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 87962440 is about 9378.8293512570. The cubic root of 87962440 is about 444.7327267658.

It can be divided in two parts, 8796 and 2440, that added together give a square (11236 = 1062).

The spelling of 87962440 in words is "eighty-seven million, nine hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2199061 4398122 8796244 10995305 17592488 21990610 43981220 87962440