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5692893444 = 22327311136449
BaseRepresentation
bin1010100110101001…
…01010100100000100
3112200202011221200100
411103110222210010
543124340042234
62340522244100
7261034536660
oct52324524404
915622157610
105692893444
112461543117
12112a656630
136c9580404
143c01098a0
15234bc3399
hex15352a904

5692893444 has 144 divisors (see below), whose sum is σ = 17129548800. Its totient is φ = 1559900160.

The previous prime is 5692893443. The next prime is 5692893457. The reversal of 5692893444 is 4443982965.

5692893444 is a `hidden beast` number, since 569 + 2 + 8 + 9 + 34 + 44 = 666.

It is a super-2 number, since 2×56928934442 = 64818071529476362272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5692893443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879532 + ... + 885980.

It is an arithmetic number, because the mean of its divisors is an integer number (118955200).

Almost surely, 25692893444 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 5692893444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564774400).

5692893444 is an abundant number, since it is smaller than the sum of its proper divisors (11436655356).

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

5692893444 is a wasteful number, since it uses less digits than its factorization.

5692893444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6605 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 5692893444 is about 75451.2653571827. The cubic root of 5692893444 is about 1785.5733073593.

The spelling of 5692893444 in words is "five billion, six hundred ninety-two million, eight hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 113 124 126 186 217 226 252 279 339 372 434 452 558 651 678 791 868 1017 1116 1302 1356 1582 1953 2034 2373 2604 3164 3503 3906 4068 4746 6449 7006 7119 7812 9492 10509 12898 14012 14238 19347 21018 24521 25796 28476 31527 38694 42036 45143 49042 58041 63054 73563 77388 90286 98084 116082 126108 135429 147126 180572 199919 220689 232164 270858 294252 399838 406287 441378 541716 599757 728737 799676 812574 882756 1199514 1399433 1457474 1625148 1799271 2186211 2399028 2798866 2914948 3598542 4198299 4372422 5101159 5597732 6558633 7197084 8396598 8744844 10202318 12594897 13117266 15303477 16793196 20404636 22590847 25189794 26234532 30606954 45181694 45910431 50379588 61213908 67772541 90363388 91820862 135545082 158135929 183641724 203317623 271090164 316271858 406635246 474407787 632543716 813270492 948815574 1423223361 1897631148 2846446722 5692893444