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8074288 = 242337593
BaseRepresentation
bin11110110011010000110000
3120012012211201
4132303100300
54031334123
6445020544
7125426125
oct36632060
916165751
108074288
114615372
122854754
1318991b1
14110274c
15a975ad
hex7b3430

8074288 has 40 divisors (see below), whose sum is σ = 16793568. Its totient is φ = 3750912.

The previous prime is 8074277. The next prime is 8074289. The reversal of 8074288 is 8824708.

8074288 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8074289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13320 + ... + 13912.

Almost surely, 28074288 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 8074288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396784).

8074288 is an abundant number, since it is smaller than the sum of its proper divisors (8719280).

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

8074288 is a wasteful number, since it uses less digits than its factorization.

8074288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 8074288 is about 2841.5291657838. The cubic root of 8074288 is about 200.6171602737.

The spelling of 8074288 in words is "eight million, seventy-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 593 851 1186 1702 2372 3404 4744 6808 9488 13616 13639 21941 27278 43882 54556 87764 109112 175528 218224 351056 504643 1009286 2018572 4037144 8074288