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57487640 = 23573137179
BaseRepresentation
bin1101101101001…
…1000100011000
311000011200012212
43123103010120
5104204101030
65412054252
71265431310
oct333230430
9130150185
1057487640
112a4a5351
1217304388
13bbaa572
1478c6440
1550a8595
hex36d3118

57487640 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 18455040.

The previous prime is 57487631. The next prime is 57487679. The reversal of 57487640 is 4678475.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321071 + ... + 321249.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 257487640 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 57487640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

57487640 is an abundant number, since it is smaller than the sum of its proper divisors (100105960).

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

57487640 is a wasteful number, since it uses less digits than its factorization.

57487640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 57487640 is about 7582.0604059846. The cubic root of 57487640 is about 385.9444737440.

The spelling of 57487640 in words is "fifty-seven million, four hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 37 40 56 62 70 74 124 140 148 155 179 185 217 248 259 280 296 310 358 370 434 518 620 716 740 868 895 1036 1085 1147 1240 1253 1295 1432 1480 1736 1790 2072 2170 2294 2506 2590 3580 4340 4588 5012 5180 5549 5735 6265 6623 7160 8029 8680 9176 10024 10360 11098 11470 12530 13246 16058 22196 22940 25060 26492 27745 32116 33115 38843 40145 44392 45880 46361 50120 52984 55490 64232 66230 77686 80290 92722 110980 132460 155372 160580 185444 194215 205313 221960 231805 264920 310744 321160 370888 388430 410626 463610 776860 821252 927220 1026565 1437191 1553720 1642504 1854440 2053130 2874382 4106260 5748764 7185955 8212520 11497528 14371910 28743820 57487640