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63940224 = 273269619
BaseRepresentation
bin1111001111101…
…0011010000000
311110022111111110
43303322122000
5112332041344
610202243320
71404324435
oct363723200
9143274443
1063940224
1133102267
12194b6540
131032956a
1486c5b8c
1559303b9
hex3cfa680

63940224 has 64 divisors (see below), whose sum is σ = 170748000. Its totient is φ = 21199872.

The previous prime is 63940223. The next prime is 63940231. The reversal of 63940224 is 42204936.

63940224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 63940191 and 63940200.

It is not an unprimeable number, because it can be changed into a prime (63940223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 102987 + ... + 103605.

Almost surely, 263940224 is an apocalyptic number.

63940224 is a gapful number since it is divisible by the number (64) 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 63940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374000).

63940224 is an abundant number, since it is smaller than the sum of its proper divisors (106807776).

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

63940224 is a wasteful number, since it uses less digits than its factorization.

63940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 63940224 is about 7996.2631272364. The cubic root of 63940224 is about 399.8754278752.

The spelling of 63940224 in words is "sixty-three million, nine hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 269 384 538 619 807 1076 1238 1614 1857 2152 2476 3228 3714 4304 4952 6456 7428 8608 9904 12912 14856 17216 19808 25824 29712 34432 39616 51648 59424 79232 103296 118848 166511 237696 333022 499533 666044 999066 1332088 1998132 2664176 3996264 5328352 7992528 10656704 15985056 21313408 31970112 63940224