Search a number
-
+
57814380 = 223251331797
BaseRepresentation
bin1101110010001…
…0110101101100
311000210021102100
43130202311230
5104300030010
65423055100
71301262021
oct334426554
9130707370
1057814380
112a6a8888
1217441490
13bc931c0
14796d548
1551202c0
hex3722d6c

57814380 has 144 divisors (see below), whose sum is σ = 195197184. Its totient is φ = 13754880.

The previous prime is 57814373. The next prime is 57814381. The reversal of 57814380 is 8341875.

57814380 is a `hidden beast` number, since 578 + 1 + 4 + 3 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57814381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72142 + ... + 72938.

It is an arithmetic number, because the mean of its divisors is an integer number (1355536).

Almost surely, 257814380 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 57814380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97598592).

57814380 is an abundant number, since it is smaller than the sum of its proper divisors (137382804).

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

57814380 is a wasteful number, since it uses less digits than its factorization.

57814380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57814380 is about 7603.5767899062. The cubic root of 57814380 is about 386.6742847620.

The spelling of 57814380 in words is "fifty-seven million, eight hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 797 806 930 1116 1170 1209 1395 1594 1612 1860 2015 2340 2391 2418 2790 3188 3627 3985 4030 4782 4836 5580 6045 7173 7254 7970 8060 9564 10361 11955 12090 14346 14508 15940 18135 20722 23910 24180 24707 28692 31083 35865 36270 41444 47820 49414 51805 62166 71730 72540 74121 93249 98828 103610 123535 124332 143460 148242 155415 186498 207220 222363 247070 296484 310830 321191 370605 372996 444726 466245 494140 621660 642382 741210 889452 932490 963573 1111815 1284764 1482420 1605955 1864980 1927146 2223630 2890719 3211910 3854292 4447260 4817865 5781438 6423820 9635730 11562876 14453595 19271460 28907190 57814380