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93290274 = 232711229211
BaseRepresentation
bin1011000111101…
…11111100100010
320111112122012100
411203313330202
5142340242044
613131311230
72211645210
oct543677442
9214478170
1093290274
1148729400
12272ab516
131643475c
14c565cb0
1582cb869
hex58f7f22

93290274 has 144 divisors (see below), whose sum is σ = 263914560. Its totient is φ = 23284800.

The previous prime is 93290273. The next prime is 93290291. The reversal of 93290274 is 47209239.

It is not an unprimeable number, because it can be changed into a prime (93290273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 442029 + ... + 442239.

It is an arithmetic number, because the mean of its divisors is an integer number (1832740).

Almost surely, 293290274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93290274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131957280).

93290274 is an abundant number, since it is smaller than the sum of its proper divisors (170624286).

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

93290274 is a wasteful number, since it uses less digits than its factorization.

93290274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93290274 is about 9658.6890414797. The cubic root of 93290274 is about 453.5363732689.

The spelling of 93290274 in words is "ninety-three million, two hundred ninety thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 121 126 154 174 198 203 211 231 242 261 319 363 406 422 462 522 609 633 638 693 726 847 957 1089 1218 1266 1386 1477 1694 1827 1899 1914 2178 2233 2321 2541 2871 2954 3509 3654 3798 4431 4466 4642 5082 5742 6119 6699 6963 7018 7623 8862 10527 12238 13293 13398 13926 15246 16247 18357 20097 20889 21054 24563 25531 26586 31581 32494 36714 40194 41778 42833 48741 49126 51062 55071 63162 67309 73689 76593 85666 97482 110142 128499 134618 146223 147378 153186 178717 201927 221067 229779 256998 292446 357434 385497 403854 442134 459558 471163 536151 605781 740399 770994 942326 1072302 1211562 1413489 1480798 1608453 2221197 2826978 3216906 4240467 4442394 5182793 6663591 8480934 10365586 13327182 15548379 31096758 46645137 93290274