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57923040 = 2535717239
BaseRepresentation
bin1101110011110…
…1010111100000
311000222210110210
43130331113200
5104312014130
65425254120
71302223560
oct334752740
9130883423
1057923040
112a77248a
1217494340
13c0007b6
14799ada0
1551425b0
hex373d5e0

57923040 has 96 divisors (see below), whose sum is σ = 208535040. Its totient is φ = 13238784.

The previous prime is 57923027. The next prime is 57923051. The reversal of 57923040 is 4032975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57922989 and 57923007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5260 + ... + 11979.

It is an arithmetic number, because the mean of its divisors is an integer number (2172240).

Almost surely, 257923040 is an apocalyptic number.

It is an amenable number.

57923040 is an abundant number, since it is smaller than the sum of its proper divisors (150612000).

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

57923040 is a wasteful number, since it uses less digits than its factorization.

57923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17264 (or 17256 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 57923040 is about 7610.7187571214. The cubic root of 57923040 is about 386.9163798527.

The spelling of 57923040 in words is "fifty-seven million, nine hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 17239 34478 51717 68956 86195 103434 120673 137912 172390 206868 241346 258585 275824 344780 362019 413736 482692 517170 551648 603365 689560 724038 827472 965384 1034340 1206730 1379120 1448076 1654944 1810095 1930768 2068680 2413460 2758240 2896152 3620190 3861536 4137360 4826920 5792304 7240380 8274720 9653840 11584608 14480760 19307680 28961520 57923040