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57273920 = 2651153307
BaseRepresentation
bin1101101001111…
…0111001000000
310222202211001022
43122132321000
5104130231140
65403325012
71263551234
oct332367100
9128684038
1057273920
112a369820
1217220768
13bb341c2
14786c5c4
1550650b5
hex369ee40

57273920 has 112 divisors (see below), whose sum is σ = 152083008. Its totient is φ = 20367360.

The previous prime is 57273919. The next prime is 57273929. The reversal of 57273920 is 2937275.

57273920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57273929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186407 + ... + 186713.

It is an arithmetic number, because the mean of its divisors is an integer number (1357884).

Almost surely, 257273920 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 57273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76041504).

57273920 is an abundant number, since it is smaller than the sum of its proper divisors (94809088).

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

57273920 is a wasteful number, since it uses less digits than its factorization.

57273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 57273920 is about 7567.9534882292. The cubic root of 57273920 is about 385.4656086018.

The spelling of 57273920 in words is "fifty-seven million, two hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 160 176 212 220 265 307 320 352 424 440 530 583 614 704 848 880 1060 1166 1228 1535 1696 1760 2120 2332 2456 2915 3070 3377 3392 3520 4240 4664 4912 5830 6140 6754 8480 9328 9824 11660 12280 13508 16271 16885 16960 18656 19648 23320 24560 27016 32542 33770 37312 46640 49120 54032 65084 67540 81355 93280 98240 108064 130168 135080 162710 178981 186560 216128 260336 270160 325420 357962 520672 540320 650840 715924 894905 1041344 1080640 1301680 1431848 1789810 2603360 2863696 3579620 5206720 5727392 7159240 11454784 14318480 28636960 57273920