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78280976 = 24291131493
BaseRepresentation
bin1001010101001…
…11100100010000
312110022002022102
410222213210100
5130014442401
611433455532
71640243264
oct452474420
9173262272
1078280976
1140207724
12222715a8
13132aab07
14a57a0a4
156d1456b
hex4aa7910

78280976 has 40 divisors (see below), whose sum is σ = 158393880. Its totient is φ = 37431296.

The previous prime is 78280973. The next prime is 78280997. The reversal of 78280976 is 67908287.

It can be written as a sum of positive squares in 4 ways, for example, as 6370576 + 71910400 = 2524^2 + 8480^2 .

It is a super-2 number, since 2×782809762 = 12255822407025152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78280976.

It is not an unprimeable number, because it can be changed into a prime (78280973) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51686 + ... + 53178.

It is an arithmetic number, because the mean of its divisors is an integer number (3959847).

Almost surely, 278280976 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 78280976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79196940).

78280976 is an abundant number, since it is smaller than the sum of its proper divisors (80112904).

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

78280976 is a wasteful number, since it uses less digits than its factorization.

78280976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 78280976 is about 8847.6537002756. The cubic root of 78280976 is about 427.7782937695.

The spelling of 78280976 in words is "seventy-eight million, two hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 113 116 226 232 452 464 904 1493 1808 2986 3277 5972 6554 11944 13108 23888 26216 43297 52432 86594 168709 173188 337418 346376 674836 692752 1349672 2699344 4892561 9785122 19570244 39140488 78280976