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8142992 = 2411133559
BaseRepresentation
bin11111000100000010010000
3120022201002022
4133010002100
54041033432
6450311012
7126133334
oct37040220
916281068
108142992
114661a50
122888468
1318c1550
14111d7c4
15aacb12
hex7c4090

8142992 has 40 divisors (see below), whose sum is σ = 18540480. Its totient is φ = 3415680.

The previous prime is 8142971. The next prime is 8143007. The reversal of 8142992 is 2992418.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (463512).

Almost surely, 28142992 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 8142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270240).

8142992 is an abundant number, since it is smaller than the sum of its proper divisors (10397488).

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

8142992 is a wasteful number, since it uses less digits than its factorization.

8142992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3585 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 8142992 is about 2853.5928230916. The cubic root of 8142992 is about 201.1845701166.

The spelling of 8142992 in words is "eight million, one hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 3559 7118 14236 28472 39149 46267 56944 78298 92534 156596 185068 313192 370136 508937 626384 740272 1017874 2035748 4071496 8142992