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61352214 = 23721161311
BaseRepresentation
bin1110101000001…
…0100100010110
311021110000102020
43222002210112
5111201232324
610030554010
71343325300
oct352024426
9137400366
1061352214
11316a4910
1218668906
13c9315b1
148210970
1555bd679
hex3a82916

61352214 has 96 divisors (see below), whose sum is σ = 158775552. Its totient is φ = 15624000.

The previous prime is 61352183. The next prime is 61352219. The reversal of 61352214 is 41225316.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61352219) 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 47 ways as a sum of consecutive naturals, for example, 197119 + ... + 197429.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 261352214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61352214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776).

61352214 is an abundant number, since it is smaller than the sum of its proper divisors (97423338).

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

61352214 is a wasteful number, since it uses less digits than its factorization.

61352214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 61352214 is about 7832.7654120368. The cubic root of 61352214 is about 394.4059092480.

The spelling of 61352214 in words is "sixty-one million, three hundred fifty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 61 66 77 98 122 147 154 183 231 294 311 366 427 462 539 622 671 854 933 1078 1281 1342 1617 1866 2013 2177 2562 2989 3234 3421 4026 4354 4697 5978 6531 6842 8967 9394 10263 13062 14091 15239 17934 18971 20526 23947 28182 30478 32879 37942 45717 47894 56913 65758 71841 91434 98637 113826 132797 143682 167629 197274 208681 265594 335258 398391 417362 502887 626043 796782 929579 1005774 1252086 1460767 1859158 2788737 2921534 4382301 5577474 8764602 10225369 20450738 30676107 61352214