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58475340 = 223257114219
BaseRepresentation
bin1101111100010…
…0001101001100
311002000212002100
43133010031030
5104432202330
65445155100
71310014020
oct337041514
9132025070
1058475340
113000a430
12176bba90
13c164cc1
147aa2380
155201060
hex37c434c

58475340 has 144 divisors (see below), whose sum is σ = 221195520. Its totient is φ = 12147840.

The previous prime is 58475323. The next prime is 58475341. The reversal of 58475340 is 4357485.

58475340 is a `hidden beast` number, since 584 + 75 + 3 + 4 + 0 = 666.

58475340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58475295 and 58475304.

It is not an unprimeable number, because it can be changed into a prime (58475341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11751 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (1536080).

Almost surely, 258475340 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 58475340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110597760).

58475340 is an abundant number, since it is smaller than the sum of its proper divisors (162720180).

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

58475340 is a wasteful number, since it uses less digits than its factorization.

58475340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 58475340 is about 7646.9170258347. The cubic root of 58475340 is about 388.1422495387.

The spelling of 58475340 in words is "fifty-eight million, four hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4219 4620 6930 8438 12657 13860 16876 21095 25314 29533 37971 42190 46409 50628 59066 63285 75942 84380 88599 92818 118132 126570 139227 147665 151884 177198 185636 189855 232045 253140 265797 278454 295330 324863 354396 379710 417681 442995 464090 531594 556908 590660 649726 696135 759420 835362 885990 928180 974589 1063188 1299452 1328985 1392270 1624315 1670724 1771980 1949178 2088405 2657970 2784540 2923767 3248630 3898356 4176810 4872945 5315940 5847534 6497260 8353620 9745890 11695068 14618835 19491780 29237670 58475340