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57045150 = 232521091163
BaseRepresentation
bin1101100110011…
…1000010011110
310222100012020100
43121213002132
5104100421100
65354401530
71261606251
oct331470236
9128305210
1057045150
112a222958
12171302a6
13ba84036
14780d098
15501c400
hex366709e

57045150 has 72 divisors (see below), whose sum is σ = 154800360. Its totient is φ = 15059520.

The previous prime is 57045139. The next prime is 57045199. The reversal of 57045150 is 5154075.

57045150 is a `hidden beast` number, since 570 + 45 + 1 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48469 + ... + 49631.

It is an arithmetic number, because the mean of its divisors is an integer number (2150005).

Almost surely, 257045150 is an apocalyptic number.

57045150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57045150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77400180).

57045150 is an abundant number, since it is smaller than the sum of its proper divisors (97755210).

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

57045150 is a wasteful number, since it uses less digits than its factorization.

57045150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 57045150 is about 7552.8239751764. The cubic root of 57045150 is about 384.9517002432.

The spelling of 57045150 in words is "fifty-seven million, forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 150 218 225 327 450 545 654 981 1090 1163 1635 1962 2326 2725 3270 3489 4905 5450 5815 6978 8175 9810 10467 11630 16350 17445 20934 24525 29075 34890 49050 52335 58150 87225 104670 126767 174450 253534 261675 380301 523350 633835 760602 1140903 1267670 1901505 2281806 3169175 3803010 5704515 6338350 9507525 11409030 19015050 28522575 57045150