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58085370 = 2335773421
BaseRepresentation
bin1101110110010…
…0111111111010
311001022001011000
43131210333322
5104332212440
65432545430
71303501050
oct335447772
9131261130
1058085370
112a873442
1217552276
13c059655
147a001d0
155175730
hex3764ffa

58085370 has 128 divisors (see below), whose sum is σ = 179873280. Its totient is φ = 13063680.

The previous prime is 58085353. The next prime is 58085381. The reversal of 58085370 is 7358085.

It is a happy number.

58085370 is a `hidden beast` number, since 580 + 8 + 5 + 3 + 70 = 666.

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, 137760 + ... + 138180.

It is an arithmetic number, because the mean of its divisors is an integer number (1405260).

Almost surely, 258085370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58085370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89936640).

58085370 is an abundant number, since it is smaller than the sum of its proper divisors (121787910).

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

58085370 is a wasteful number, since it uses less digits than its factorization.

58085370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 58085370 is about 7621.3758600400. The cubic root of 58085370 is about 387.2774886252.

The spelling of 58085370 in words is "fifty-eight million, eighty-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 73 90 105 126 135 146 189 210 219 270 315 365 378 421 438 511 630 657 730 842 945 1022 1095 1263 1314 1533 1890 1971 2105 2190 2526 2555 2947 3066 3285 3789 3942 4210 4599 5110 5894 6315 6570 7578 7665 8841 9198 9855 11367 12630 13797 14735 15330 17682 18945 19710 22734 22995 26523 27594 29470 30733 37890 44205 45990 53046 56835 61466 68985 79569 88410 92199 113670 132615 137970 153665 159138 184398 215131 265230 276597 307330 397845 430262 460995 553194 645393 795690 829791 921990 1075655 1290786 1382985 1659582 1936179 2151310 2765970 3226965 3872358 4148955 5808537 6453930 8297910 9680895 11617074 19361790 29042685 58085370