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61876716 = 223112389229
BaseRepresentation
bin1110110000001…
…0100111101100
311022102122220020
43230002213230
5111320023331
610050122140
71350641406
oct354024754
9138378806
1061876716
1131a22990
1218880350
13ca86255
148309b76
155673c96
hex3b029ec

61876716 has 96 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 17656320.

The previous prime is 61876697. The next prime is 61876723. The reversal of 61876716 is 61767816.

61876716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 270090 + ... + 270318.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 261876716 is an apocalyptic number.

61876716 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61876716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

61876716 is an abundant number, since it is smaller than the sum of its proper divisors (105048084).

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

61876716 is a wasteful number, since it uses less digits than its factorization.

61876716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 61876716 is about 7866.1754366401. The cubic root of 61876716 is about 395.5266510298.

Subtracting from 61876716 its reverse (61767816), we obtain a square (108900 = 3302).

The spelling of 61876716 in words is "sixty-one million, eight hundred seventy-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 89 92 132 138 178 229 253 267 276 356 458 506 534 687 759 916 979 1012 1068 1374 1518 1958 2047 2519 2748 2937 3036 3916 4094 5038 5267 5874 6141 7557 8188 10076 10534 11748 12282 15114 15801 20381 21068 22517 24564 30228 31602 40762 45034 57937 61143 63204 67551 81524 90068 115874 122286 135102 173811 224191 231748 244572 270204 347622 448382 468763 672573 695244 896764 937526 1345146 1406289 1875052 2690292 2812578 5156393 5625156 10312786 15469179 20625572 30938358 61876716