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8997408 = 253274463
BaseRepresentation
bin100010010100…
…101000100000
3121221010010100
4202110220200
54300404113
6520502400
7136322340
oct42245040
917833110
108997408
115095982
12301aa00
131b30414
1412a2d20
15bcad73
hex894a20

8997408 has 72 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 2570112.

The previous prime is 8997407. The next prime is 8997413. The reversal of 8997408 is 8047998.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8997407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216 + ... + 4247.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 28997408 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 8997408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

8997408 is an abundant number, since it is smaller than the sum of its proper divisors (20250720).

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

8997408 is a wasteful number, since it uses less digits than its factorization.

8997408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4475 counting only the distinct ones).

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

The square root of 8997408 is about 2999.5679688915. The cubic root of 8997408 is about 207.9884115832.

The spelling of 8997408 in words is "eight million, nine hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4463 8926 13389 17852 26778 31241 35704 40167 53556 62482 71408 80334 93723 107112 124964 142816 160668 187446 214224 249928 281169 321336 374892 428448 499856 562338 642672 749784 999712 1124676 1285344 1499568 2249352 2999136 4498704 8997408