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87940064 = 2529193491
BaseRepresentation
bin1010011110111…
…01101111100000
320010110211002102
411033131233200
5140003040224
612420505532
72115323012
oct517355740
9203424072
1087940064
1145704743
122554b2a8
13152b0454
14b9721b2
157ac14ae
hex53ddbe0

87940064 has 48 divisors (see below), whose sum is σ = 180396720. Its totient is φ = 42147840.

The previous prime is 87940049. The next prime is 87940067. The reversal of 87940064 is 46004978.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87940067) 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, 178859 + ... + 179349.

It is an arithmetic number, because the mean of its divisors is an integer number (3758265).

Almost surely, 287940064 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 87940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90198360).

87940064 is an abundant number, since it is smaller than the sum of its proper divisors (92456656).

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

87940064 is a wasteful number, since it uses less digits than its factorization.

87940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 87940064 is about 9377.6363759745. The cubic root of 87940064 is about 444.6950130044.

The spelling of 87940064 in words is "eighty-seven million, nine hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 193 232 386 464 491 772 928 982 1544 1964 3088 3928 5597 6176 7856 11194 14239 15712 22388 28478 44776 56956 89552 94763 113912 179104 189526 227824 379052 455648 758104 1516208 2748127 3032416 5496254 10992508 21985016 43970032 87940064