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63977056 = 25112133141
BaseRepresentation
bin1111010000001…
…1011001100000
311110101101000121
43310003121200
5112334231211
610203130024
71404540013
oct364033140
9143341017
1063977056
1133127a00
1219513914
1310340260
1486d537a
15593b271
hex3d03660

63977056 has 144 divisors (see below), whose sum is σ = 157659264. Its totient is φ = 25344000.

The previous prime is 63977041. The next prime is 63977057. The reversal of 63977056 is 65077936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63977057) 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 23 ways as a sum of consecutive naturals, for example, 1560396 + ... + 1560436.

It is an arithmetic number, because the mean of its divisors is an integer number (1094856).

Almost surely, 263977056 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 63977056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829632).

63977056 is an abundant number, since it is smaller than the sum of its proper divisors (93682208).

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

63977056 is a wasteful number, since it uses less digits than its factorization.

63977056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The square root of 63977056 is about 7998.5658714547. The cubic root of 63977056 is about 399.9521942868.

The spelling of 63977056 in words is "sixty-three million, nine hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 41 44 52 62 82 88 104 121 124 143 164 176 208 242 248 286 328 341 352 403 416 451 484 496 533 572 656 682 806 902 968 992 1066 1144 1271 1312 1364 1573 1612 1804 1936 2132 2288 2542 2728 3146 3224 3608 3751 3872 4264 4433 4576 4961 5084 5456 5863 6292 6448 7216 7502 8528 8866 9922 10168 10912 11726 12584 12896 13981 14432 15004 16523 17056 17732 19844 20336 23452 25168 27962 30008 33046 35464 39688 40672 46904 48763 50336 55924 60016 64493 66092 70928 79376 93808 97526 111848 120032 128986 132184 141856 153791 158752 181753 187616 195052 223696 257972 264368 307582 363506 390104 447392 515944 528736 615164 727012 780208 1031888 1230328 1454024 1560416 1999283 2063776 2460656 2908048 3998566 4921312 5816096 7997132 15994264 31988528 63977056