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63081408 = 26313127199
BaseRepresentation
bin1111000010100…
…0101111000000
311101200212102110
43300220233000
5112122101113
610132015320
71364116545
oct360505700
9141625373
1063081408
1132675aa5
1219161540
13100b86a0
148540bcc
155810bc3
hex3c28bc0

63081408 has 112 divisors (see below), whose sum is σ = 182067200. Its totient is φ = 19160064.

The previous prime is 63081391. The next prime is 63081413. The reversal of 63081408 is 80418036.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 316893 + ... + 317091.

It is an arithmetic number, because the mean of its divisors is an integer number (1625600).

Almost surely, 263081408 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 63081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91033600).

63081408 is an abundant number, since it is smaller than the sum of its proper divisors (118985792).

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

63081408 is a wasteful number, since it uses less digits than its factorization.

63081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 63081408 is about 7942.3804995732. The cubic root of 63081408 is about 398.0770370140.

The spelling of 63081408 in words is "sixty-three million, eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 192 199 208 254 312 381 398 416 508 597 624 762 796 832 1016 1194 1248 1524 1592 1651 2032 2388 2496 2587 3048 3184 3302 4064 4776 4953 5174 6096 6368 6604 7761 8128 9552 9906 10348 12192 12736 13208 15522 19104 19812 20696 24384 25273 26416 31044 38208 39624 41392 50546 52832 62088 75819 79248 82784 101092 105664 124176 151638 158496 165568 202184 248352 303276 316992 328549 404368 496704 606552 657098 808736 985647 1213104 1314196 1617472 1971294 2426208 2628392 3942588 4852416 5256784 7885176 10513568 15770352 21027136 31540704 63081408