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57381900 = 223521910067
BaseRepresentation
bin1101101011100…
…1010000001100
310222222022011120
43122321100030
5104142210100
65405520540
71264511112
oct332712014
9128868146
1057381900
112a432964
1217273150
13bb713b4
147899ab2
1550870a0
hex36b940c

57381900 has 72 divisors (see below), whose sum is σ = 174780480. Its totient is φ = 14495040.

The previous prime is 57381893. The next prime is 57381911. The reversal of 57381900 is 918375.

It is a super-2 number, since 2×573819002 = 6585364895220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667 + ... + 10733.

Almost surely, 257381900 is an apocalyptic number.

57381900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57381900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87390240).

57381900 is an abundant number, since it is smaller than the sum of its proper divisors (117398580).

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

57381900 is a wasteful number, since it uses less digits than its factorization.

57381900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10103 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 57381900 is about 7575.0841579483. The cubic root of 57381900 is about 385.7076992800.

The spelling of 57381900 in words is "fifty-seven million, three hundred eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 10067 20134 30201 40268 50335 60402 100670 120804 151005 191273 201340 251675 302010 382546 503350 573819 604020 755025 765092 956365 1006700 1147638 1510050 1912730 2295276 2869095 3020100 3825460 4781825 5738190 9563650 11476380 14345475 19127300 28690950 57381900