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8002488 = 2331321973
BaseRepresentation
bin11110100001101110111000
3120001120100110
4132201232320
54022034423
6443304320
7125006604
oct36415670
916046313
108002488
11457642a
12281b0a0
131872600
1410c4504
15a81193
hex7a1bb8

8002488 has 48 divisors (see below), whose sum is σ = 21674520. Its totient is φ = 2461056.

The previous prime is 8002441. The next prime is 8002493. The reversal of 8002488 is 8842008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3070 + ... + 5042.

Almost surely, 28002488 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 8002488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10837260).

8002488 is an abundant number, since it is smaller than the sum of its proper divisors (13672032).

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

8002488 is a wasteful number, since it uses less digits than its factorization.

8002488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8002488 is about 2828.8669109734. The cubic root of 8002488 is about 200.0207311843.

The spelling of 8002488 in words is "eight million, two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 1973 2028 3946 4056 5919 7892 11838 15784 23676 25649 47352 51298 76947 102596 153894 205192 307788 333437 615576 666874 1000311 1333748 2000622 2667496 4001244 8002488