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78260992 = 28347881
BaseRepresentation
bin1001010101000…
…10101100000000
312110021001220021
410222202230000
5130013322432
611433223224
71640131105
oct452425400
9173231807
1078260992
11401a3707
1222261b14
13132a19a4
14a572aac
156d0d697
hex4aa2b00

78260992 has 36 divisors (see below), whose sum is σ = 156844296. Its totient is φ = 38973440.

The previous prime is 78260971. The next prime is 78260999. The reversal of 78260992 is 29906287.

It is a happy number.

It is a super-2 number, since 2×782609922 = 12249565737648128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78260999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88392 + ... + 89272.

It is an arithmetic number, because the mean of its divisors is an integer number (4356786).

Almost surely, 278260992 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 78260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78422148).

78260992 is an abundant number, since it is smaller than the sum of its proper divisors (78583304).

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

78260992 is an equidigital number, since it uses as much as digits as its factorization.

78260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 78260992 is about 8846.5242892336. The cubic root of 78260992 is about 427.7418888028.

The spelling of 78260992 in words is "seventy-eight million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 347 694 881 1388 1762 2776 3524 5552 7048 11104 14096 22208 28192 44416 56384 88832 112768 225536 305707 611414 1222828 2445656 4891312 9782624 19565248 39130496 78260992