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54291930 = 235711191237
BaseRepresentation
bin1100111100011…
…0110111011010
310210011022112020
43033012313122
5102344320210
65215355310
71226321340
oct317066732
9123138466
1054291930
1128712370
1216222b36
13b32bb04
1472d3990
154b76770
hex33c6dda

54291930 has 128 divisors (see below), whose sum is σ = 171141120. Its totient is φ = 10679040.

The previous prime is 54291893. The next prime is 54291947. The reversal of 54291930 is 3919245.

It is a super-2 number, since 2×542919302 = 5895227326249800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 54291891 and 54291900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43272 + ... + 44508.

It is an arithmetic number, because the mean of its divisors is an integer number (1337040).

Almost surely, 254291930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54291930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85570560).

54291930 is an abundant number, since it is smaller than the sum of its proper divisors (116849190).

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

54291930 is a wasteful number, since it uses less digits than its factorization.

54291930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 54291930 is about 7368.3057754140. The cubic root of 54291930 is about 378.6562185437.

The spelling of 54291930 in words is "fifty-four million, two hundred ninety-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 133 154 165 190 209 210 231 266 285 330 385 399 418 462 570 627 665 770 798 1045 1155 1237 1254 1330 1463 1995 2090 2310 2474 2926 3135 3711 3990 4389 6185 6270 7315 7422 8659 8778 12370 13607 14630 17318 18555 21945 23503 25977 27214 37110 40821 43295 43890 47006 51954 68035 70509 81642 86590 95249 117515 129885 136070 141018 164521 190498 204105 235030 258533 259770 285747 329042 352545 408210 476245 493563 517066 571494 705090 775599 822605 952490 987126 1292665 1428735 1551198 1645210 1809731 2467815 2585330 2857470 3619462 3877995 4935630 5429193 7755990 9048655 10858386 18097310 27145965 54291930