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5742995280 = 2435112975013
BaseRepresentation
bin1010101100100111…
…10010011101010000
3112211020110101110220
411112103302131100
543230201322110
62345512153040
7262213440321
oct52623623520
915736411426
105742995280
1124878533a0
121143398780
13706a72c79
143c6a2c448
152392bd370
hex1564f2750

5742995280 has 160 divisors (see below), whose sum is σ = 20091749760. Its totient is φ = 1344215040.

The previous prime is 5742995263. The next prime is 5742995287. The reversal of 5742995280 is 825992475.

It is a super-2 number, since 2×57429952802 = 65963989572204556800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742995287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39054 + ... + 114066.

It is an arithmetic number, because the mean of its divisors is an integer number (125573436).

Almost surely, 25742995280 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 5742995280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045874880).

5742995280 is an abundant number, since it is smaller than the sum of its proper divisors (14348754480).

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

5742995280 is a wasteful number, since it uses less digits than its factorization.

5742995280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75069 (or 75063 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 5742995280 is about 75782.5526094232. The cubic root of 5742995280 is about 1790.7961544747.

The spelling of 5742995280 in words is "five billion, seven hundred forty-two million, nine hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 75013 76560 150026 225039 300052 375065 450078 600104 750130 825143 900156 1125195 1200208 1500260 1650286 1800312 2175377 2250390 2475429 3000520 3300572 3600624 4125715 4350754 4500780 4950858 6001040 6526131 6601144 8251430 8701508 9001560 9901716 10876885 12377145 13052262 13202288 16502860 17403016 18003120 19803432 21753770 23929147 24754290 26104524 32630655 33005720 34806032 39606864 43507540 47858294 49508580 52209048 65261310 66011440 71787441 87015080 95716588 99017160 104418096 119645735 130522620 143574882 174030160 191433176 198034320 239291470 261045240 287149764 358937205 382866352 478582940 522090480 574299528 717874410 957165880 1148599056 1435748820 1914331760 2871497640 5742995280