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6725240928 = 253277942227
BaseRepresentation
bin1100100001101101…
…10000100001100000
3122100200201122012100
412100312300201200
5102233130202203
63031201130400
7325441414260
oct62066604140
918320648170
106725240928
11294125005a
121378329a00
13832404c03
1447b2777a0
15295643ea3
hex190db0860

6725240928 has 144 divisors (see below), whose sum is σ = 22134228480. Its totient is φ = 1897129728.

The previous prime is 6725240923. The next prime is 6725240939. The reversal of 6725240928 is 8290425276.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6725240923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138151 + ... + 180377.

It is an arithmetic number, because the mean of its divisors is an integer number (153709920).

Almost surely, 26725240928 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 6725240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067114240).

6725240928 is an abundant number, since it is smaller than the sum of its proper divisors (15408987552).

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

6725240928 is a wasteful number, since it uses less digits than its factorization.

6725240928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42329 (or 42318 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6725240928 is about 82007.5662850691. The cubic root of 6725240928 is about 1887.5680419195.

The spelling of 6725240928 in words is "six billion, seven hundred twenty-five million, two hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 7584 8848 9954 11376 13272 17696 19908 22752 26544 39816 42227 53088 79632 84454 126681 159264 168908 253362 295589 337816 380043 506724 591178 675632 760086 886767 1013448 1182356 1351264 1520172 1773534 2026896 2364712 2660301 3040344 3335933 3547068 4053792 4729424 5320602 6080688 6671866 7094136 9458848 10007799 10641204 12161376 13343732 14188272 20015598 21282408 23351531 26687464 28376544 30023397 40031196 42564816 46703062 53374928 60046794 70054593 80062392 85129632 93406124 106749856 120093588 140109186 160124784 186812248 210163779 240187176 280218372 320249568 373624496 420327558 480374352 560436744 747248992 840655116 960748704 1120873488 1681310232 2241746976 3362620464 6725240928