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78223872 = 293127401
BaseRepresentation
bin1001010100110…
…01101000000000
312110012011222110
410222121220000
5130011130442
611432335320
71636614636
oct452315000
9173164873
1078223872
1140178831
1222244540
131328ab1c
14a563356
156d0269c
hex4a99a00

78223872 has 80 divisors (see below), whose sum is σ = 210557952. Its totient is φ = 25804800.

The previous prime is 78223843. The next prime is 78223891. The reversal of 78223872 is 27832287.

It is a super-2 number, since 2×782238722 = 12237948301344768, 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 78223872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194872 + ... + 195272.

Almost surely, 278223872 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 78223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105278976).

78223872 is an abundant number, since it is smaller than the sum of its proper divisors (132334080).

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

78223872 is a wasteful number, since it uses less digits than its factorization.

78223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 78223872 is about 8844.4260412986. The cubic root of 78223872 is about 427.6742506367.

The spelling of 78223872 in words is "seventy-eight million, two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 401 508 512 762 768 802 1016 1203 1524 1536 1604 2032 2406 3048 3208 4064 4812 6096 6416 8128 9624 12192 12832 16256 19248 24384 25664 32512 38496 48768 50927 51328 65024 76992 97536 101854 102656 152781 153984 195072 203708 205312 305562 307968 407416 611124 615936 814832 1222248 1629664 2444496 3259328 4888992 6518656 9777984 13037312 19555968 26074624 39111936 78223872