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61863912 = 2335112263
BaseRepresentation
bin1110101111111…
…1011111101000
311022102000100000
43223333133220
5111314121122
610045543000
71350556155
oct353773750
9138360300
1061863912
1131a14300
1218874a60
13ca80486
14830522c
1556700ac
hex3aff7e8

61863912 has 144 divisors (see below), whose sum is σ = 191711520. Its totient is φ = 18675360.

The previous prime is 61863899. The next prime is 61863929. The reversal of 61863912 is 21936816.

61863912 is a `hidden beast` number, since 6 + 1 + 8 + 639 + 12 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235093 + ... + 235355.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 261863912 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 61863912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95855760).

61863912 is an abundant number, since it is smaller than the sum of its proper divisors (129847608).

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

61863912 is a wasteful number, since it uses less digits than its factorization.

61863912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61863912 is about 7865.3615301523. The cubic root of 61863912 is about 395.4993673550.

The spelling of 61863912 in words is "sixty-one million, eight hundred sixty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 243 263 264 297 324 363 396 484 486 526 594 648 726 789 792 891 968 972 1052 1089 1188 1452 1578 1782 1944 2104 2178 2367 2376 2673 2893 2904 3156 3267 3564 4356 4734 5346 5786 6312 6534 7101 7128 8679 8712 9468 9801 10692 11572 13068 14202 17358 18936 19602 21303 21384 23144 26037 26136 28404 29403 31823 34716 39204 42606 52074 56808 58806 63646 63909 69432 78111 78408 85212 95469 104148 117612 127292 127818 156222 170424 190938 208296 234333 235224 254584 255636 286407 312444 381876 468666 511272 572814 624888 702999 763752 859221 937332 1145628 1405998 1718442 1874664 2291256 2577663 2811996 3436884 5155326 5623992 6873768 7732989 10310652 15465978 20621304 30931956 61863912