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57997080 = 2333583647
BaseRepresentation
bin1101110100111…
…1011100011000
311001010120001000
43131033130120
5104321401310
65431025000
71302652461
oct335173430
9131116030
1057997080
112a813079
121750b160
13c0283cb
1479b9d68
1551594c0
hex374f718

57997080 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 15255936.

The previous prime is 57997073. The next prime is 57997087. The reversal of 57997080 is 8079975.

57997080 is a `hidden beast` number, since 579 + 9 + 70 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57997073) and next prime (57997087).

It is a super-2 number, since 2×579970802 = 6727322577052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57997087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89317 + ... + 89963.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 257997080 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 57997080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

57997080 is an abundant number, since it is smaller than the sum of its proper divisors (137958120).

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

57997080 is a wasteful number, since it uses less digits than its factorization.

57997080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 57997080 is about 7615.5813960590. The cubic root of 57997080 is about 387.0811679999.

The spelling of 57997080 in words is "fifty-seven million, nine hundred ninety-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 647 664 747 830 996 1080 1245 1294 1494 1660 1941 1992 2241 2490 2588 2988 3235 3320 3735 3882 4482 4980 5176 5823 5976 6470 7470 7764 8964 9705 9960 11205 11646 12940 14940 15528 17469 17928 19410 22410 23292 25880 29115 29880 34938 38820 44820 46584 53701 58230 69876 77640 87345 89640 107402 116460 139752 161103 174690 214804 232920 268505 322206 349380 429608 483309 537010 644412 698760 805515 966618 1074020 1288824 1449927 1611030 1933236 2148040 2416545 2899854 3222060 3866472 4833090 5799708 6444120 7249635 9666180 11599416 14499270 19332360 28998540 57997080