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966680448 = 27322910993
BaseRepresentation
bin111001100111100…
…101111110000000
32111100222110021120
4321213211332000
53434432233243
6235531152240
732645435226
oct7147457600
92440873246
10966680448
11456736368
1222b8a5680
13125372286
1492556b16
1559cedc83
hex399e5f80

966680448 has 64 divisors (see below), whose sum is σ = 2579192400. Its totient is φ = 320790528.

The previous prime is 966680321. The next prime is 966680453. The reversal of 966680448 is 844086669.

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

It is a self number, because there is not a number n which added to its sum of digits gives 966680448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82440 + ... + 93432.

Almost surely, 2966680448 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 966680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289596200).

966680448 is an abundant number, since it is smaller than the sum of its proper divisors (1612511952).

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

966680448 is a wasteful number, since it uses less digits than its factorization.

966680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11239 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 966680448 is about 31091.4851366093. The cubic root of 966680448 is about 988.7677925434.

The spelling of 966680448 in words is "nine hundred sixty-six million, six hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 384 458 687 916 1374 1832 2748 3664 5496 7328 10992 10993 14656 21984 21986 29312 32979 43968 43972 65958 87936 87944 131916 175888 263832 351776 527664 703552 1055328 1407104 2110656 2517397 4221312 5034794 7552191 10069588 15104382 20139176 30208764 40278352 60417528 80556704 120835056 161113408 241670112 322226816 483340224 966680448