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87407404 = 22717473907
BaseRepresentation
bin1010011010110…
…11101100101100
320002110202102021
411031123230230
5134334014104
612401235524
72110644040
oct515335454
9202422367
1087407404
1145380527
1225332ba4
1315154b76
14b874020
157a18754
hex535bb2c

87407404 has 48 divisors (see below), whose sum is σ = 189084672. Its totient is φ = 34497792.

The previous prime is 87407351. The next prime is 87407447. The reversal of 87407404 is 40470478.

It is a super-3 number, since 3×874074043 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 87407404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20419 + ... + 24325.

It is an arithmetic number, because the mean of its divisors is an integer number (3939264).

Almost surely, 287407404 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 87407404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94542336).

87407404 is an abundant number, since it is smaller than the sum of its proper divisors (101677268).

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

87407404 is a wasteful number, since it uses less digits than its factorization.

87407404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 87407404 is about 9349.1926924200. The cubic root of 87407404 is about 443.7953430093.

The spelling of 87407404 in words is "eighty-seven million, four hundred seven thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 47 68 94 119 188 238 329 476 658 799 1316 1598 3196 3907 5593 7814 11186 15628 22372 27349 54698 66419 109396 132838 183629 265676 367258 464933 734516 929866 1285403 1859732 2570806 3121693 5141612 6243386 12486772 21851851 43703702 87407404