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64054848 = 26311132333
BaseRepresentation
bin1111010001011…
…0011001000000
311110112022201210
43310112121000
5112344223343
610204530120
71405312554
oct364263100
9143468653
1064054848
11331803a0
1219550940
13103697a0
148715864
155954333
hex3d16640

64054848 has 112 divisors (see below), whose sum is σ = 199192896. Its totient is φ = 17909760.

The previous prime is 64054829. The next prime is 64054853. The reversal of 64054848 is 84845046.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 26290 + ... + 28622.

It is an arithmetic number, because the mean of its divisors is an integer number (1778508).

Almost surely, 264054848 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 64054848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99596448).

64054848 is an abundant number, since it is smaller than the sum of its proper divisors (135138048).

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

64054848 is a wasteful number, since it uses less digits than its factorization.

64054848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 64054848 is about 8003.4272658655. The cubic root of 64054848 is about 400.1142340400.

The spelling of 64054848 in words is "sixty-four million, fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2333 2496 3432 4576 4666 6864 6999 9152 9332 13728 13998 18664 25663 27456 27996 30329 37328 51326 55992 60658 74656 76989 90987 102652 111984 121316 149312 153978 181974 205304 223968 242632 307956 333619 363948 410608 447936 485264 615912 667238 727896 821216 970528 1000857 1231824 1334476 1455792 1642432 1941056 2001714 2463648 2668952 2911584 4003428 4927296 5337904 5823168 8006856 10675808 16013712 21351616 32027424 64054848