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78660648 = 23321129029
BaseRepresentation
bin1001011000001…
…00010000101000
312111000101010100
410230010100220
5130114120043
611445545400
71643414223
oct454042050
9174011110
1078660648
1140446a00
1222415260
13133b1881
14a6385ba
156d8bcd3
hex4b04428

78660648 has 72 divisors (see below), whose sum is σ = 234193050. Its totient is φ = 23833920.

The previous prime is 78660641. The next prime is 78660689. The reversal of 78660648 is 84606687.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40985604 + 37675044 = 6402^2 + 6138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (78660641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4198 + ... + 13226.

Almost surely, 278660648 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 78660648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117096525).

78660648 is an abundant number, since it is smaller than the sum of its proper divisors (155532402).

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

78660648 is a wasteful number, since it uses less digits than its factorization.

78660648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 78660648 is about 8869.0838309264. The cubic root of 78660648 is about 428.4687704593.

The spelling of 78660648 in words is "seventy-eight million, six hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 9029 18058 27087 36116 54174 72232 81261 99319 108348 162522 198638 216696 297957 325044 397276 595914 650088 794552 893871 1092509 1191828 1787742 2185018 2383656 3277527 3575484 4370036 6555054 7150968 8740072 9832581 13110108 19665162 26220216 39330324 78660648