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8042496 = 211371117
BaseRepresentation
bin11110101011100000000000
3120010121020020
4132223200000
54024324441
6444213440
7125234340
oct36534000
916117206
108042496
1145a34a0
12283a280
131887897
1410d4d20
15a8ce66
hex7ab800

8042496 has 192 divisors, whose sum is σ = 28304640. Its totient is φ = 1966080.

The previous prime is 8042477. The next prime is 8042509. The reversal of 8042496 is 6942408.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 473080 + ... + 473096.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 28042496 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 8042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8042496 is an abundant number, since it is smaller than the sum of its proper divisors (20262144).

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

8042496 is a wasteful number, since it uses less digits than its factorization.

8042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8042496 is about 2835.9294772614. The cubic root of 8042496 is about 200.3535081252.

The spelling of 8042496 in words is "eight million, forty-two thousand, four hundred ninety-six".