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87403806 = 23371072161
BaseRepresentation
bin1010011010110…
…10110100011110
320002110120111000
411031122310132
5134333410211
612401211130
72110630410
oct515326436
9202416430
1087403806
1145378856
1225330aa6
1315153339
14b8729b0
157a17656
hex535ad1e

87403806 has 64 divisors (see below), whose sum is σ = 224156160. Its totient is φ = 24727680.

The previous prime is 87403763. The next prime is 87403831. The reversal of 87403806 is 60830478.

87403806 = 46732 + 46742 + ... + 46762.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39366 + ... + 41526.

It is an arithmetic number, because the mean of its divisors is an integer number (3502440).

Almost surely, 287403806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87403806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112078080).

87403806 is an abundant number, since it is smaller than the sum of its proper divisors (136752354).

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

87403806 is a wasteful number, since it uses less digits than its factorization.

87403806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87403806 is about 9349.0002674083. Note that the first 3 decimals coincide. The cubic root of 87403806 is about 443.7892535269.

It can be divided in two parts, 87403 and 806, that added together give a square (88209 = 2972).

The spelling of 87403806 in words is "eighty-seven million, four hundred three thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 963 1498 1926 2161 2247 2889 4322 4494 5778 6483 6741 12966 13482 15127 19449 20223 30254 38898 40446 45381 58347 90762 116694 136143 231227 272286 408429 462454 693681 816858 1387362 1618589 2081043 3237178 4162086 4855767 6243129 9711534 12486258 14567301 29134602 43701903 87403806