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87033348 = 22322417593
BaseRepresentation
bin1010011000000…
…00011000000100
320001202202022100
411030000120010
5134240031343
612345232100
72104525353
oct514003004
9201682270
1087033348
1145145496
1225192630
131505382c
14b7b799a
1579929d3
hex5300604

87033348 has 18 divisors (see below), whose sum is σ = 220001054. Its totient is φ = 29011104.

The previous prime is 87033341. The next prime is 87033371. The reversal of 87033348 is 84333078.

It can be written as a sum of positive squares in only one way, i.e., 48692484 + 38340864 = 6978^2 + 6192^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2417593 = 87033348 / (8 + 7 + 0 + 3 + 3 + 3 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (87033341) 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 5 ways as a sum of consecutive naturals, for example, 1208761 + ... + 1208832.

Almost surely, 287033348 is an apocalyptic number.

It is an amenable number.

87033348 is an abundant number, since it is smaller than the sum of its proper divisors (132967706).

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

87033348 is a wasteful number, since it uses less digits than its factorization.

87033348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417603 (or 2417598 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 87033348 is about 9329.1665222570. The cubic root of 87033348 is about 443.1613704835.

The spelling of 87033348 in words is "eighty-seven million, thirty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2417593 4835186 7252779 9670372 14505558 21758337 29011116 43516674 87033348