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9987408 = 243361379
BaseRepresentation
bin100110000110…
…010101010000
3200210102011000
4212012111100
510024044113
6554022000
7150614544
oct46062520
920712130
109987408
115701762
123417900
1320b8c12
14147da24
15d24373
hex986550

9987408 has 80 divisors (see below), whose sum is σ = 29214400. Its totient is φ = 3265920.

The previous prime is 9987403. The next prime is 9987413. The reversal of 9987408 is 8047899.

It is an interprime number because it is at equal distance from previous prime (9987403) and next prime (9987413).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26163 + ... + 26541.

It is an arithmetic number, because the mean of its divisors is an integer number (365180).

Almost surely, 29987408 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 9987408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607200).

9987408 is an abundant number, since it is smaller than the sum of its proper divisors (19226992).

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

9987408 is a wasteful number, since it uses less digits than its factorization.

9987408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9987408 is about 3160.2860630013. The cubic root of 9987408 is about 215.3530022152.

The spelling of 9987408 in words is "nine million, nine hundred eighty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 379 432 488 549 732 758 976 1098 1137 1464 1516 1647 2196 2274 2928 3032 3294 3411 4392 4548 6064 6588 6822 8784 9096 10233 13176 13644 18192 20466 23119 26352 27288 40932 46238 54576 69357 81864 92476 138714 163728 184952 208071 277428 369904 416142 554856 624213 832284 1109712 1248426 1664568 2496852 3329136 4993704 9987408