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63097056 = 2534112213
BaseRepresentation
bin1111000010110…
…0100011100000
311101201122220000
43300230203200
5112123101211
610132220000
71364213301
oct360544340
9141648800
1063097056
1132686830
121916a600
13100c2849
1485467a8
155815656
hex3c2c8e0

63097056 has 120 divisors (see below), whose sum is σ = 202527864. Its totient is φ = 19111680.

The previous prime is 63097037. The next prime is 63097087. The reversal of 63097056 is 65079036.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63097056.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 27406 + ... + 29618.

Almost surely, 263097056 is an apocalyptic number.

63097056 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 63097056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101263932).

63097056 is an abundant number, since it is smaller than the sum of its proper divisors (139430808).

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

63097056 is a wasteful number, since it uses less digits than its factorization.

63097056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 63097056 is about 7943.3655335758. The cubic root of 63097056 is about 398.1099500105.

The spelling of 63097056 in words is "sixty-three million, ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2213 2376 2592 3168 3564 4426 4752 6639 7128 8852 9504 13278 14256 17704 19917 24343 26556 28512 35408 39834 48686 53112 59751 70816 73029 79668 97372 106224 119502 146058 159336 179253 194744 212448 219087 239004 292116 318672 358506 389488 438174 478008 584232 637344 657261 717012 778976 876348 956016 1168464 1314522 1434024 1752696 1912032 1971783 2336928 2629044 2868048 3505392 3943566 5258088 5736096 7010784 7887132 10516176 15774264 21032352 31548528 63097056