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8074864 = 247174241
BaseRepresentation
bin11110110011011001110000
3120012020122001
4132303121300
54031343424
6445023344
7125430610
oct36633160
916166561
108074864
114615846
122854b54
131899535
141102a40
15a97844
hex7b3670

8074864 has 40 divisors (see below), whose sum is σ = 18936288. Its totient is φ = 3256320.

The previous prime is 8074861. The next prime is 8074873. The reversal of 8074864 is 4684708.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8074861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 4024.

Almost surely, 28074864 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 8074864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9468144).

8074864 is an abundant number, since it is smaller than the sum of its proper divisors (10861424).

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

8074864 is a wasteful number, since it uses less digits than its factorization.

8074864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 8074864 is about 2841.6305178541. The cubic root of 8074864 is about 200.6219306732.

It can be divided in two parts, 807 and 4864, that added together give a triangular number (5671 = T106).

The spelling of 8074864 in words is "eight million, seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 4241 8482 16964 29687 33928 59374 67856 72097 118748 144194 237496 288388 474992 504679 576776 1009358 1153552 2018716 4037432 8074864