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58068736 = 2811171213
BaseRepresentation
bin1101110110000…
…0111100000000
311001021012022221
43131200330000
5104331144421
65432340424
71303401415
oct335407400
9131235287
1058068736
112a8619a0
1217544714
13c051bcb
1479d810c
155170841
hex3760f00

58068736 has 72 divisors (see below), whose sum is σ = 133996464. Its totient is φ = 24821760.

The previous prime is 58068707. The next prime is 58068781. The reversal of 58068736 is 63786085.

It is a junction number, because it is equal to n+sod(n) for n = 58068692 and 58068701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47266 + ... + 48478.

It is an arithmetic number, because the mean of its divisors is an integer number (1861062).

Almost surely, 258068736 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 58068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66998232).

58068736 is an abundant number, since it is smaller than the sum of its proper divisors (75927728).

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

58068736 is a wasteful number, since it uses less digits than its factorization.

58068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 58068736 is about 7620.2845091243. The cubic root of 58068736 is about 387.2405166718.

The spelling of 58068736 in words is "fifty-eight million, sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1213 1408 1496 2176 2426 2816 2992 4352 4852 5984 9704 11968 13343 19408 20621 23936 26686 38816 41242 47872 53372 77632 82484 106744 155264 164968 213488 226831 310528 329936 426976 453662 659872 853952 907324 1319744 1707904 1814648 2639488 3415808 3629296 5278976 7258592 14517184 29034368 58068736