Search a number
-
+
57334770 = 23351311621
BaseRepresentation
bin1101101010110…
…1101111110010
310222212220112000
43122231233302
5104134203040
65404514430
71264223523
oct332555762
9128786460
1057334770
112a400509
121724ba16
13bb55acc
14788684a
155078130
hex36adbf2

57334770 has 64 divisors (see below), whose sum is σ = 154154880. Its totient is φ = 15163200.

The previous prime is 57334757. The next prime is 57334801. The reversal of 57334770 is 7743375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34560 + ... + 36180.

It is an arithmetic number, because the mean of its divisors is an integer number (2408670).

Almost surely, 257334770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57334770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77077440).

57334770 is an abundant number, since it is smaller than the sum of its proper divisors (96820110).

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

57334770 is a wasteful number, since it uses less digits than its factorization.

57334770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 57334770 is about 7571.9726623912. The cubic root of 57334770 is about 385.6020714135.

The spelling of 57334770 in words is "fifty-seven million, three hundred thirty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 393 655 786 1179 1310 1621 1965 2358 3242 3537 3930 4863 5895 7074 8105 9726 11790 14589 16210 17685 24315 29178 35370 43767 48630 72945 87534 145890 212351 218835 424702 437670 637053 1061755 1274106 1911159 2123510 3185265 3822318 5733477 6370530 9555795 11466954 19111590 28667385 57334770