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57419880 = 23357174021
BaseRepresentation
bin1101101100001…
…0100001101000
311000001020021020
43123002201220
5104144414010
65410412440
71265026620
oct333024150
9130036236
1057419880
112a459451
1217291120
13bb8577b
1478a9880
155093470
hex36c2868

57419880 has 128 divisors (see below), whose sum is σ = 208500480. Its totient is φ = 12349440.

The previous prime is 57419867. The next prime is 57419899. The reversal of 57419880 is 8891475.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12270 + ... + 16290.

It is an arithmetic number, because the mean of its divisors is an integer number (1628910).

Almost surely, 257419880 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 57419880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104250240).

57419880 is an abundant number, since it is smaller than the sum of its proper divisors (151080600).

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

57419880 is a wasteful number, since it uses less digits than its factorization.

57419880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 57419880 is about 7577.5906461091. The cubic root of 57419880 is about 385.7927780685.

The spelling of 57419880 in words is "fifty-seven million, four hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4021 4760 7140 8042 12063 14280 16084 20105 24126 28147 32168 40210 48252 56294 60315 68357 80420 84441 96504 112588 120630 136714 140735 160840 168882 205071 225176 241260 273428 281470 337764 341785 410142 422205 478499 482520 546856 562940 675528 683570 820284 844410 956998 1025355 1125880 1367140 1435497 1640568 1688820 1913996 2050710 2392495 2734280 2870994 3377640 3827992 4101420 4784990 5741988 7177485 8202840 9569980 11483976 14354970 19139960 28709940 57419880