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8042024 = 2337101269
BaseRepresentation
bin11110101011011000101000
3120010120120202
4132223120220
54024321044
6444211332
7125233064
oct36533050
916116522
108042024
1145a3101
122839b48
1318875c3
1410d4aa4
15a8cc4e
hex7ab628

8042024 has 32 divisors (see below), whose sum is σ = 15697800. Its totient is φ = 3859200.

The previous prime is 8042017. The next prime is 8042033. The reversal of 8042024 is 4202408.

It can be written as a sum of positive squares in 4 ways, for example, as 7896100 + 145924 = 2810^2 + 382^2 .

It is a super-3 number, since 3×80420243 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8041987 and 8042005.

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, 29762 + ... + 30030.

Almost surely, 28042024 is an apocalyptic number.

It is an amenable number.

8042024 is a deficient number, since it is larger than the sum of its proper divisors (7655776).

8042024 is a wasteful number, since it uses less digits than its factorization.

8042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 8042024 is about 2835.8462581741. The cubic root of 8042024 is about 200.3495885831.

The spelling of 8042024 in words is "eight million, forty-two thousand, twenty-four".

Divisors: 1 2 4 8 37 74 101 148 202 269 296 404 538 808 1076 2152 3737 7474 9953 14948 19906 27169 29896 39812 54338 79624 108676 217352 1005253 2010506 4021012 8042024