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61803648 = 27351987
BaseRepresentation
bin1110101111000…
…0110010000000
311022021221200000
43223300302000
5111310204043
610044400000
71350215364
oct353606200
9138257600
1061803648
1131982aa5
1218846000
13ca5bc0a
1482cb2a4
15565c2d3
hex3af0c80

61803648 has 96 divisors (see below), whose sum is σ = 184526160. Its totient is φ = 20590848.

The previous prime is 61803641. The next prime is 61803659. The reversal of 61803648 is 84630816.

It is a happy number.

61803648 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×618036482 = 7639381812215808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61803641) 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 11 ways as a sum of consecutive naturals, for example, 30111 + ... + 32097.

Almost surely, 261803648 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 61803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92263080).

61803648 is an abundant number, since it is smaller than the sum of its proper divisors (122722512).

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

61803648 is an equidigital number, since it uses as much as digits as its factorization.

61803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61803648 is about 7861.5296221537. The cubic root of 61803648 is about 395.3709019507.

The spelling of 61803648 in words is "sixty-one million, eight hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 1987 2592 3456 3888 3974 5184 5961 7776 7948 10368 11922 15552 15896 17883 23844 31104 31792 35766 47688 53649 63584 71532 95376 107298 127168 143064 160947 190752 214596 254336 286128 321894 381504 429192 482841 572256 643788 763008 858384 965682 1144512 1287576 1716768 1931364 2289024 2575152 3433536 3862728 5150304 6867072 7725456 10300608 15450912 20601216 30901824 61803648