[go: up one dir, main page]

Search a number
-
+
57400128 = 2632227439
BaseRepresentation
bin1101101011110…
…1101101000000
311000000020011200
43122331231000
5104143301003
65410141200
71264615212
oct332755500
9130006150
1057400128
112a445625
1217281800
13bb79796
1478a25b2
15508c6a3
hex36bdb40

57400128 has 84 divisors (see below), whose sum is σ = 165628320. Its totient is φ = 19005696.

The previous prime is 57400117. The next prime is 57400129. The reversal of 57400128 is 82100475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57400129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130533 + ... + 130971.

Almost surely, 257400128 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 57400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82814160).

57400128 is an abundant number, since it is smaller than the sum of its proper divisors (108228192).

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

57400128 is a wasteful number, since it uses less digits than its factorization.

57400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57400128 is about 7576.2872173645. The cubic root of 57400128 is about 385.7485364059.

The spelling of 57400128 in words is "fifty-seven million, four hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 227 288 439 454 576 681 878 908 1317 1362 1756 1816 2043 2634 2724 3512 3632 3951 4086 5268 5448 7024 7264 7902 8172 10536 10896 14048 14528 15804 16344 21072 21792 28096 31608 32688 42144 43584 63216 65376 84288 99653 126432 130752 199306 252864 298959 398612 597918 797224 896877 1195836 1594448 1793754 2391672 3188896 3587508 4783344 6377792 7175016 9566688 14350032 19133376 28700064 57400128