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28934496 = 2535612
BaseRepresentation
bin110111001100…
…0000101100000
32000110000200000
41232120011200
524401400441
62512100000
7500640063
oct156300540
960400600
1028934496
1115372a08
129834600
135cc1006
143bb28da
1528182b6
hex1b98160

28934496 has 108 divisors (see below), whose sum is σ = 86751756. Its totient is φ = 9486720.

The previous prime is 28934491. The next prime is 28934497. The reversal of 28934496 is 69443982.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28934491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 474306 + ... + 474366.

It is an arithmetic number, because the mean of its divisors is an integer number (803257).

Almost surely, 228934496 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 28934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43375878).

28934496 is an abundant number, since it is smaller than the sum of its proper divisors (57817260).

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

28934496 is an frugal number, since it uses more digits than its factorization.

28934496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 66 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 28934496 is about 5379.0794751519. The cubic root of 28934496 is about 307.0001874466. Note that the first 3 decimals are identical.

The spelling of 28934496 in words is "twenty-eight million, nine hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 243 244 288 324 366 432 486 488 549 648 732 864 972 976 1098 1296 1464 1647 1944 1952 2196 2592 2928 3294 3721 3888 4392 4941 5856 6588 7442 7776 8784 9882 11163 13176 14823 14884 17568 19764 22326 26352 29646 29768 33489 39528 44652 52704 59292 59536 66978 79056 89304 100467 118584 119072 133956 158112 178608 200934 237168 267912 301401 357216 401868 474336 535824 602802 803736 904203 1071648 1205604 1607472 1808406 2411208 3214944 3616812 4822416 7233624 9644832 14467248 28934496