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78448104 = 23327315021
BaseRepresentation
bin1001010110100…
…00010111101000
312110121120120100
410223100113220
5130040314404
611441225400
71641540450
oct453202750
9173546510
1078448104
1140311249
1222332260
1313338bc7
14a5c0d60
156d48d39
hex4ad05e8

78448104 has 96 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 21686400.

The previous prime is 78448099. The next prime is 78448121. The reversal of 78448104 is 40184487.

It is a happy number.

It is a super-3 number, since 3×784481043 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13114 + ... + 18134.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 278448104 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 78448104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

78448104 is an abundant number, since it is smaller than the sum of its proper divisors (172250136).

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

78448104 is a wasteful number, since it uses less digits than its factorization.

78448104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 78448104 is about 8857.0934284335. The cubic root of 78448104 is about 428.0825094954.

The spelling of 78448104 in words is "seventy-eight million, four hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5021 5208 7812 10042 15063 15624 20084 30126 35147 40168 45189 60252 70294 90378 105441 120504 140588 155651 180756 210882 281176 311302 316323 361512 421764 466953 622604 632646 843528 933906 1089557 1245208 1265292 1400859 1867812 2179114 2530584 2801718 3268671 3735624 4358228 5603436 6537342 8716456 9806013 11206872 13074684 19612026 26149368 39224052 78448104