Search a number
-
+
58394000 = 245374397
BaseRepresentation
bin1101111011000…
…0010110010000
311001212201111202
43132300112100
5104422102000
65443330332
71306224620
oct336602620
9131781452
1058394000
112aa64305
12176809a8
13c136c82
147a80880
1551d6dd5
hex37b0590

58394000 has 160 divisors (see below), whose sum is σ = 166822656. Its totient is φ = 19353600.

The previous prime is 58393999. The next prime is 58394009. The reversal of 58394000 is 49385.

It is not an unprimeable number, because it can be changed into a prime (58394009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601952 + ... + 602048.

Almost surely, 258394000 is an apocalyptic number.

58394000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83411328).

58394000 is an abundant number, since it is smaller than the sum of its proper divisors (108428656).

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

58394000 is a wasteful number, since it uses less digits than its factorization.

58394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 58394000 is about 7641.5966917916. The cubic root of 58394000 is about 387.9621956294.

The spelling of 58394000 in words is "fifty-eight million, three hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 97 100 112 125 140 172 175 194 200 215 250 280 301 344 350 388 400 430 485 500 560 602 679 688 700 776 860 875 970 1000 1075 1204 1358 1400 1505 1552 1720 1750 1940 2000 2150 2408 2425 2716 2800 3010 3395 3440 3500 3880 4171 4300 4816 4850 5375 5432 6020 6790 7000 7525 7760 8342 8600 9700 10750 10864 12040 12125 13580 14000 15050 16684 16975 17200 19400 20855 21500 24080 24250 27160 29197 30100 33368 33950 37625 38800 41710 43000 48500 54320 58394 60200 66736 67900 75250 83420 84875 86000 97000 104275 116788 120400 135800 145985 150500 166840 169750 194000 208550 233576 271600 291970 301000 333680 339500 417100 467152 521375 583940 602000 679000 729925 834200 1042750 1167880 1358000 1459850 1668400 2085500 2335760 2919700 3649625 4171000 5839400 7299250 8342000 11678800 14598500 29197000 58394000