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57450000 = 24355383
BaseRepresentation
bin1101101100100…
…1111000010000
311000002202120210
43123021320100
5104201400000
65411204120
71265213466
oct333117020
9130082523
1057450000
112a47a043
12172a6640
13bb963aa
1478b6836
15509c350
hex36c9e10

57450000 has 120 divisors (see below), whose sum is σ = 185988096. Its totient is φ = 15280000.

The previous prime is 57449971. The next prime is 57450017. The reversal of 57450000 is 5475.

It is a tau number, because it is divible by the number of its divisors (120).

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, 149809 + ... + 150191.

Almost surely, 257450000 is an apocalyptic number.

57450000 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 57450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

57450000 is an abundant number, since it is smaller than the sum of its proper divisors (128538096).

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

57450000 is an equidigital number, since it uses as much as digits as its factorization.

57450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 57450000 is about 7579.5778246549. The cubic root of 57450000 is about 385.8602230445.

Adding to 57450000 its reverse (5475), we get a palindrome (57455475).

The spelling of 57450000 in words is "fifty-seven million, four hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 383 400 500 600 625 750 766 1000 1149 1200 1250 1500 1532 1875 1915 2000 2298 2500 3000 3064 3125 3750 3830 4596 5000 5745 6000 6128 6250 7500 7660 9192 9375 9575 10000 11490 12500 15000 15320 18384 18750 19150 22980 25000 28725 30000 30640 37500 38300 45960 47875 50000 57450 75000 76600 91920 95750 114900 143625 150000 153200 191500 229800 239375 287250 383000 459600 478750 574500 718125 766000 957500 1149000 1196875 1436250 1915000 2298000 2393750 2872500 3590625 3830000 4787500 5745000 7181250 9575000 11490000 14362500 19150000 28725000 57450000