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54237690 = 232513151307
BaseRepresentation
bin1100111011100…
…1100111111010
310210001120010100
43032321213322
5102341101230
65214300230
71226004243
oct316714772
9123046110
1054237690
1128685641
12161b7676
13b310210
1472bbcca
154b65660
hex33b99fa

54237690 has 96 divisors (see below), whose sum is σ = 153369216. Its totient is φ = 13219200.

The previous prime is 54237643. The next prime is 54237719. The reversal of 54237690 is 9673245.

It is a super-2 number, since 2×542376902 = 5883454033072200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176517 + ... + 176823.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 254237690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54237690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76684608).

54237690 is an abundant number, since it is smaller than the sum of its proper divisors (99131526).

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

54237690 is a wasteful number, since it uses less digits than its factorization.

54237690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54237690 is about 7364.6242266663. The cubic root of 54237690 is about 378.5300785161.

The spelling of 54237690 in words is "fifty-four million, two hundred thirty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 151 195 234 302 307 390 453 585 614 755 906 921 1170 1359 1510 1535 1842 1963 2265 2718 2763 3070 3926 3991 4530 4605 5526 5889 6795 7982 9210 9815 11778 11973 13590 13815 17667 19630 19955 23946 27630 29445 35334 35919 39910 46357 58890 59865 71838 88335 92714 119730 139071 176670 179595 231785 278142 359190 417213 463570 602641 695355 834426 1205282 1390710 1807923 2086065 3013205 3615846 4172130 5423769 6026410 9039615 10847538 18079230 27118845 54237690