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8212064 = 25761601
BaseRepresentation
bin11111010100111001100000
3120110012211112
4133110321200
54100241224
6452002452
7126541610
oct37247140
916405745
108212064
1146a9933
122900428
131916b13
14113aa40
15ac330e
hex7d4e60

8212064 has 48 divisors (see below), whose sum is σ = 18811296. Its totient is φ = 3456000.

The previous prime is 8212063. The next prime is 8212067. The reversal of 8212064 is 4602128.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8212063) 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, 13364 + ... + 13964.

It is an arithmetic number, because the mean of its divisors is an integer number (391902).

Almost surely, 28212064 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 8212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405648).

8212064 is an abundant number, since it is smaller than the sum of its proper divisors (10599232).

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

8212064 is a wasteful number, since it uses less digits than its factorization.

8212064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

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

The square root of 8212064 is about 2865.6699042283. The cubic root of 8212064 is about 201.7518109910.

The spelling of 8212064 in words is "eight million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 601 854 976 1202 1708 1952 2404 3416 4207 4808 6832 8414 9616 13664 16828 19232 33656 36661 67312 73322 134624 146644 256627 293288 513254 586576 1026508 1173152 2053016 4106032 8212064