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8131424 = 257311171
BaseRepresentation
bin11111000001001101100000
3120022010012212
4133001031200
54040201144
6450141252
7126054530
oct37011540
916263185
108131424
114654294
122881828
1318b91c2
1411194c0
15aa949e
hex7c1360

8131424 has 48 divisors (see below), whose sum is σ = 18902016. Its totient is φ = 3369600.

The previous prime is 8131421. The next prime is 8131463. The reversal of 8131424 is 4241318.

It is a super-2 number, since 2×81314242 = 132240112535552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8131424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6359 + ... + 7529.

It is an arithmetic number, because the mean of its divisors is an integer number (393792).

Almost surely, 28131424 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 8131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451008).

8131424 is an abundant number, since it is smaller than the sum of its proper divisors (10770592).

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

8131424 is a wasteful number, since it uses less digits than its factorization.

8131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 8131424 is about 2851.5651842453. The cubic root of 8131424 is about 201.0892568280.

The spelling of 8131424 in words is "eight million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1171 1736 2342 3472 4684 6944 8197 9368 16394 18736 32788 36301 37472 65576 72602 131152 145204 254107 262304 290408 508214 580816 1016428 1161632 2032856 4065712 8131424