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61614168 = 23372112433
BaseRepresentation
bin1110101100001…
…0100001011000
311021221022202020
43223002201120
5111233123133
610040334440
71345466100
oct353024130
9137838666
1061614168
1131863700
1218774420
13c9c38b5
14827c200
1556210b3
hex3ac2858

61614168 has 144 divisors (see below), whose sum is σ = 197409240. Its totient is φ = 15966720.

The previous prime is 61614167. The next prime is 61614187. The reversal of 61614168 is 86141616.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61614167) 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 35 ways as a sum of consecutive naturals, for example, 142080 + ... + 142512.

Almost surely, 261614168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61614168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98704620).

61614168 is an abundant number, since it is smaller than the sum of its proper divisors (135795072).

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

61614168 is a wasteful number, since it uses less digits than its factorization.

61614168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 61614168 is about 7849.4692814228. The cubic root of 61614168 is about 394.9664405607.

The spelling of 61614168 in words is "sixty-one million, six hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 433 462 484 539 588 616 726 847 866 924 968 1078 1176 1299 1452 1617 1694 1732 1848 2156 2541 2598 2904 3031 3234 3388 3464 4312 4763 5082 5196 5929 6062 6468 6776 9093 9526 10164 10392 11858 12124 12936 14289 17787 18186 19052 20328 21217 23716 24248 28578 33341 35574 36372 38104 42434 47432 52393 57156 63651 66682 71148 72744 84868 100023 104786 114312 127302 133364 142296 157179 169736 200046 209572 233387 254604 266728 314358 366751 400092 419144 466774 509208 628716 700161 733502 800184 933548 1100253 1257432 1400322 1467004 1867096 2200506 2567257 2800644 2934008 4401012 5134514 5601288 7701771 8802024 10269028 15403542 20538056 30807084 61614168