Search a number
-
+
87484032 = 273275941
BaseRepresentation
bin1010011011011…
…10011010000000
320002121122112100
411031232122000
5134343442112
612403030400
72111413326
oct515563200
9202548470
1087484032
1145423059
122536b400
13151809cc
14b893d16
157a312dc
hex536e680

87484032 has 48 divisors (see below), whose sum is σ = 251747730. Its totient is φ = 29160960.

The previous prime is 87484031. The next prime is 87484049. The reversal of 87484032 is 23048478.

It can be written as a sum of positive squares in only one way, i.e., 59351616 + 28132416 = 7704^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87484031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36819 + ... + 39122.

Almost surely, 287484032 is an apocalyptic number.

It is an amenable number.

87484032 is an abundant number, since it is smaller than the sum of its proper divisors (164263698).

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

87484032 is a wasteful number, since it uses less digits than its factorization.

87484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75961 (or 75946 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 87484032 is about 9353.2899024889. The cubic root of 87484032 is about 443.9249934167.

The spelling of 87484032 in words is "eighty-seven million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 75941 151882 227823 303764 455646 607528 683469 911292 1215056 1366938 1822584 2430112 2733876 3645168 4860224 5467752 7290336 9720448 10935504 14580672 21871008 29161344 43742016 87484032