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87270948 = 22326173929
BaseRepresentation
bin1010011001110…
…10011000100100
320002012211020100
411030322120210
5134320132243
612354304100
72106535152
oct514723044
9202184210
1087270948
1145297a56
1225288030
1315107a1b
14b83a3d2
1579dd0d3
hex533a624

87270948 has 36 divisors (see below), whose sum is σ = 221015340. Its totient is φ = 29035776.

The previous prime is 87270941. The next prime is 87270949. The reversal of 87270948 is 84907278.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 80676324 = 2568^2 + 8982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (87270941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20248 + ... + 24176.

It is an arithmetic number, because the mean of its divisors is an integer number (6139315).

Almost surely, 287270948 is an apocalyptic number.

It is an amenable number.

87270948 is an abundant number, since it is smaller than the sum of its proper divisors (133744392).

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

87270948 is a wasteful number, since it uses less digits than its factorization.

87270948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87270948 is about 9341.8920995696. The cubic root of 87270948 is about 443.5642791423.

The spelling of 87270948 in words is "eighty-seven million, two hundred seventy thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2468 3702 3929 5553 7404 7858 11106 11787 15716 22212 23574 35361 47148 70722 141444 2424193 4848386 7272579 9696772 14545158 21817737 29090316 43635474 87270948