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78991104 = 283163631
BaseRepresentation
bin1001011010101…
…00111100000000
312111122011102110
410231110330000
5130210203404
611501015320
71646261523
oct455247400
9174564373
1078991104
1140652205
1222554540
13134990ca
14a6c2bba
156e04b89
hex4b54f00

78991104 has 72 divisors (see below), whose sum is σ = 211856512. Its totient is φ = 26127360.

The previous prime is 78991103. The next prime is 78991111. The reversal of 78991104 is 40119987.

It is a happy number.

It is a super-2 number, since 2×789911042 = 12479189022277632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78991103) 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, 124869 + ... + 125499.

Almost surely, 278991104 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 78991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105928256).

78991104 is an abundant number, since it is smaller than the sum of its proper divisors (132865408).

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

78991104 is a wasteful number, since it uses less digits than its factorization.

78991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 78991104 is about 8887.6939641282. The cubic root of 78991104 is about 429.0679360573.

The spelling of 78991104 in words is "seventy-eight million, nine hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 631 652 768 978 1262 1304 1893 1956 2524 2608 3786 3912 5048 5216 7572 7824 10096 10432 15144 15648 20192 20864 30288 31296 40384 41728 60576 62592 80768 102853 121152 125184 161536 205706 242304 308559 411412 484608 617118 822824 1234236 1645648 2468472 3291296 4936944 6582592 9873888 13165184 19747776 26330368 39495552 78991104