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542273292 = 223411712143
BaseRepresentation
bin100000010100100…
…110111100001100
31101210101100010000
4200110212330030
52102310221132
6125450444300
716303150461
oct4024467414
91353340100
10542273292
1125910aa50
12131733690
1388466592
145203b668
153291887c
hex20526f0c

542273292 has 120 divisors (see below), whose sum is σ = 1568996352. Its totient is φ = 161935200.

The previous prime is 542273269. The next prime is 542273299. The reversal of 542273292 is 292372245.

542273292 is a `hidden beast` number, since 542 + 27 + 3 + 2 + 92 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (542273299) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251973 + ... + 254115.

Almost surely, 2542273292 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 542273292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784498176).

542273292 is an abundant number, since it is smaller than the sum of its proper divisors (1026723060).

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

542273292 is a wasteful number, since it uses less digits than its factorization.

542273292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2230 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 542273292 is about 23286.7621622243. The cubic root of 542273292 is about 815.4664007119.

The spelling of 542273292 in words is "five hundred forty-two million, two hundred seventy-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 81 99 108 132 142 162 198 213 284 297 324 396 426 594 639 781 852 891 1188 1278 1562 1782 1917 2143 2343 2556 3124 3564 3834 4286 4686 5751 6429 7029 7668 8572 9372 11502 12858 14058 19287 21087 23004 23573 25716 28116 38574 42174 47146 57861 63261 70719 77148 84348 94292 115722 126522 141438 152153 173583 212157 231444 253044 282876 304306 347166 424314 456459 608612 636471 694332 848628 912918 1272942 1369377 1673683 1825836 1909413 2545884 2738754 3347366 3818826 4108131 5021049 5477508 6694732 7637652 8216262 10042098 12324393 15063147 16432524 20084196 24648786 30126294 45189441 49297572 60252588 90378882 135568323 180757764 271136646 542273292