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87548368 = 2417536073
BaseRepresentation
bin1010011011111…
…10000111010000
320002201220210011
411031332013100
5134403021433
612404244304
72112102025
oct515760720
9202656704
1087548368
1145467426
12253a0694
13151a408b
14b8ad54c
157a453cd
hex537e1d0

87548368 has 40 divisors (see below), whose sum is σ = 183021768. Its totient is φ = 40415232.

The previous prime is 87548347. The next prime is 87548369. The reversal of 87548368 is 86384578.

It can be written as a sum of positive squares in 4 ways, for example, as 53114944 + 34433424 = 7288^2 + 5868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87548369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11380 + ... + 17452.

Almost surely, 287548368 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 87548368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91510884).

87548368 is an abundant number, since it is smaller than the sum of its proper divisors (95473400).

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

87548368 is a wasteful number, since it uses less digits than its factorization.

87548368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6145 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 87548368 is about 9356.7284880988. The cubic root of 87548368 is about 444.0337879760.

The spelling of 87548368 in words is "eighty-seven million, five hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 6073 7208 12146 14416 24292 48584 97168 103241 206482 321869 412964 643738 825928 1287476 1651856 2574952 5149904 5471773 10943546 21887092 43774184 87548368