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57328740 = 223257173263
BaseRepresentation
bin1101101010110…
…0010001100100
310222212121020200
43122230101210
5104134004430
65404430500
71264200120
oct332542144
9128777220
1057328740
112a3a6a27
1217248430
13bb53141
147884580
155076460
hex36ac464

57328740 has 144 divisors (see below), whose sum is σ = 200648448. Its totient is φ = 12978432.

The previous prime is 57328723. The next prime is 57328759. The reversal of 57328740 is 4782375.

57328740 is a `hidden beast` number, since 573 + 2 + 87 + 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 = 57328695 and 57328704.

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, 217849 + ... + 218111.

It is an arithmetic number, because the mean of its divisors is an integer number (1393392).

Almost surely, 257328740 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 57328740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100324224).

57328740 is an abundant number, since it is smaller than the sum of its proper divisors (143319708).

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

57328740 is a wasteful number, since it uses less digits than its factorization.

57328740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57328740 is about 7571.5744729878. The cubic root of 57328740 is about 385.5885527871.

The spelling of 57328740 in words is "fifty-seven million, three hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 173 180 210 252 263 315 346 420 519 526 630 692 789 865 1038 1052 1211 1260 1315 1557 1578 1730 1841 2076 2367 2422 2595 2630 3114 3156 3460 3633 3682 3945 4734 4844 5190 5260 5523 6055 6228 7266 7364 7785 7890 9205 9468 10380 10899 11046 11835 12110 14532 15570 15780 16569 18165 18410 21798 22092 23670 24220 27615 31140 33138 36330 36820 43596 45499 47340 54495 55230 66276 72660 82845 90998 108990 110460 136497 165690 181996 217980 227495 272994 318493 331380 409491 454990 545988 636986 682485 818982 909980 955479 1273972 1364970 1592465 1637964 1910958 2047455 2729940 2866437 3184930 3821916 4094910 4777395 5732874 6369860 8189820 9554790 11465748 14332185 19109580 28664370 57328740