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57250000 = 2456229
BaseRepresentation
bin1101101001100…
…1000011010000
310222201121020101
43122121003100
5104124000000
65403022144
71263421423
oct332310320
9128647211
1057250000
112a352855
121720a954
13bb26352
1478639ba
15505ce6a
hex36990d0

57250000 has 70 divisors (see below), whose sum is σ = 139256030. Its totient is φ = 22800000.

The previous prime is 57249979. The next prime is 57250003. The reversal of 57250000 is 5275.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 54346384 + 2903616 = 7372^2 + 1704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57250000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57250003) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 249886 + ... + 250114.

Almost surely, 257250000 is an apocalyptic number.

57250000 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 57250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69628015).

57250000 is an abundant number, since it is smaller than the sum of its proper divisors (82006030).

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

57250000 is an frugal number, since it uses more digits than its factorization.

57250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 57250000 is about 7566.3729752108. The cubic root of 57250000 is about 385.4119389080.

Adding to 57250000 its product of nonzero digits (350), we get a triangular number (57250350 = T10700).

Adding to 57250000 its reverse (5275), we get a palindrome (57255275).

The spelling of 57250000 in words is "fifty-seven million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 229 250 400 458 500 625 916 1000 1145 1250 1832 2000 2290 2500 3125 3664 4580 5000 5725 6250 9160 10000 11450 12500 15625 18320 22900 25000 28625 31250 45800 50000 57250 62500 91600 114500 125000 143125 229000 250000 286250 458000 572500 715625 1145000 1431250 2290000 2862500 3578125 5725000 7156250 11450000 14312500 28625000 57250000