Search a number
-
+
57334050 = 23252432963
BaseRepresentation
bin1101101010110…
…1100100100010
310222212212112100
43122231210202
5104134142200
65404511230
71264221444
oct332554442
9128785470
1057334050
112a3aaa14
121724b516
13bb55697
147886494
155077d00
hex36ad922

57334050 has 72 divisors (see below), whose sum is σ = 157672944. Its totient is φ = 14928480.

The previous prime is 57334049. The next prime is 57334061. The reversal of 57334050 is 5043375.

It is a happy number.

57334050 is a `hidden beast` number, since 573 + 3 + 40 + 50 = 666.

57334050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17869 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (2189902).

Almost surely, 257334050 is an apocalyptic number.

57334050 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 57334050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78836472).

57334050 is an abundant number, since it is smaller than the sum of its proper divisors (100338894).

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

57334050 is a wasteful number, since it uses less digits than its factorization.

57334050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 57334050 is about 7571.9251184887. The cubic root of 57334050 is about 385.6004572990.

The spelling of 57334050 in words is "fifty-seven million, three hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2150 2963 3225 3870 5926 6450 8889 9675 14815 17778 19350 26667 29630 44445 53334 74075 88890 127409 133335 148150 222225 254818 266670 382227 444450 637045 666675 764454 1146681 1274090 1333350 1911135 2293362 3185225 3822270 5733405 6370450 9555675 11466810 19111350 28667025 57334050