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58271940 = 2233531592
BaseRepresentation
bin1101111001001…
…0100011000100
311001122112002000
43132102203010
5104404200230
65440545300
71305206016
oct336224304
9131575060
1058271940
112a990631
1217622230
13c0c354c
147a4c1b6
1551b0b60
hex37928c4

58271940 has 144 divisors (see below), whose sum is σ = 190364160. Its totient is φ = 14783040.

The previous prime is 58271921. The next prime is 58271951. The reversal of 58271940 is 4917285.

58271940 is a `hidden beast` number, since 582 + 71 + 9 + 4 + 0 = 666.

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 = 58271895 and 58271904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987631 + ... + 987689.

Almost surely, 258271940 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 58271940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95182080).

58271940 is an abundant number, since it is smaller than the sum of its proper divisors (132092220).

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

58271940 is a wasteful number, since it uses less digits than its factorization.

58271940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 58271940 is about 7633.6059631081. The cubic root of 58271940 is about 387.6916901045.

The spelling of 58271940 in words is "fifty-eight million, two hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 59 60 62 90 93 108 118 124 135 155 177 180 186 236 270 279 295 310 354 372 465 531 540 558 590 620 708 837 885 930 1062 1116 1180 1395 1593 1674 1770 1829 1860 2124 2655 2790 3186 3348 3481 3540 3658 4185 5310 5487 5580 6372 6962 7316 7965 8370 9145 10443 10620 10974 13924 15930 16461 16740 17405 18290 20886 21948 27435 31329 31860 32922 34810 36580 41772 49383 52215 54870 62658 65844 69620 82305 93987 98766 104430 107911 109740 125316 156645 164610 187974 197532 208860 215822 246915 313290 323733 329220 375948 431644 469935 493830 539555 626580 647466 939870 971199 987660 1079110 1294932 1618665 1879740 1942398 2158220 2913597 3237330 3884796 4855995 5827194 6474660 9711990 11654388 14567985 19423980 29135970 58271940