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7048064 = 27174179
BaseRepresentation
bin11010111000101110000000
3111021002010102
4122320232000
53301014224
6411021532
7113623202
oct32705600
914232112
107048064
113a84351
12243a8a8
1315ca06a
14d16772
159434ae
hex6b8b80

7048064 has 64 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 3194880.

The previous prime is 7048061. The next prime is 7048127. The reversal of 7048064 is 4608407.

7048064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×70480642 = 99350412296192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7048061) 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, 89177 + ... + 89255.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 27048064 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 7048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

7048064 is an abundant number, since it is smaller than the sum of its proper divisors (8374336).

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

7048064 is a wasteful number, since it uses less digits than its factorization.

7048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 7048064 is about 2654.8190145469. The cubic root of 7048064 is about 191.7299444083.

The spelling of 7048064 in words is "seven million, forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 79 82 128 136 158 164 272 316 328 544 632 656 697 1088 1264 1312 1343 1394 2176 2528 2624 2686 2788 3239 5056 5248 5372 5576 6478 10112 10744 11152 12956 21488 22304 25912 42976 44608 51824 55063 85952 89216 103648 110126 171904 207296 220252 414592 440504 881008 1762016 3524032 7048064