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61716984 = 23371133251
BaseRepresentation
bin1110101101101…
…1100111111000
311022010112210020
43223123213320
5111244420414
610042450440
71346404620
oct353334770
9138115706
1061716984
113192397a
1218803a20
13ca2b634
1482a7880
1556417a9
hex3adb9f8

61716984 has 64 divisors (see below), whose sum is σ = 177949440. Its totient is φ = 17472000.

The previous prime is 61716947. The next prime is 61717031. The reversal of 61716984 is 48961716.

It is a super-2 number, since 2×617169842 = 7617972228112512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 17359 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (2780460).

Almost surely, 261716984 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 61716984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88974720).

61716984 is an abundant number, since it is smaller than the sum of its proper divisors (116232456).

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

61716984 is a wasteful number, since it uses less digits than its factorization.

61716984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3376 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 61716984 is about 7856.0157840982. The cubic root of 61716984 is about 395.1860129074.

The spelling of 61716984 in words is "sixty-one million, seven hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 3251 4746 6328 6502 9492 9753 13004 18984 19506 22757 26008 39012 45514 68271 78024 91028 136542 182056 273084 367363 546168 734726 1102089 1469452 2204178 2571541 2938904 4408356 5143082 7714623 8816712 10286164 15429246 20572328 30858492 61716984