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8064276 = 22311199307
BaseRepresentation
bin11110110000110100010100
3120011201002220
4132300310110
54031024101
6444502340
7125355003
oct36606424
916151086
108064276
1146088a0
12284a9b0
13189477c
1410dcc3a
15a94636
hex7b0d14

8064276 has 48 divisors (see below), whose sum is σ = 20697600. Its totient is φ = 2423520.

The previous prime is 8064271. The next prime is 8064293. The reversal of 8064276 is 6724608.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064271) 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 15 ways as a sum of consecutive naturals, for example, 26115 + ... + 26421.

It is an arithmetic number, because the mean of its divisors is an integer number (431200).

Almost surely, 28064276 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 8064276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348800).

8064276 is an abundant number, since it is smaller than the sum of its proper divisors (12633324).

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

8064276 is a wasteful number, since it uses less digits than its factorization.

8064276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8064276 is about 2839.7668918417. The cubic root of 8064276 is about 200.5342051870.

The spelling of 8064276 in words is "eight million, sixty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 307 398 597 614 796 921 1194 1228 1842 2189 2388 3377 3684 4378 6567 6754 8756 10131 13134 13508 20262 26268 40524 61093 122186 183279 244372 366558 672023 733116 1344046 2016069 2688092 4032138 8064276