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80874048 = 2632811499
BaseRepresentation
bin1001101001000…
…00101001000000
312122011211100010
410310200221000
5131200432143
612005224520
72001263253
oct464405100
9178154303
1080874048
1141718962
1223102140
13139a8188
14aa5309a
157177a33
hex4d20a40

80874048 has 56 divisors (see below), whose sum is σ = 214884000. Its totient is φ = 26844160.

The previous prime is 80874047. The next prime is 80874077. The reversal of 80874048 is 84047808.

It is a Cunningham number, because it is equal to 89932-1.

It is a super-2 number, since 2×808740482 = 13081223279812608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 80873997 and 80874015.

It is not an unprimeable number, because it can be changed into a prime (80874047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53203 + ... + 54701.

Almost surely, 280874048 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 80874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442000).

80874048 is an abundant number, since it is smaller than the sum of its proper divisors (134009952).

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

80874048 is a wasteful number, since it uses less digits than its factorization.

80874048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 80874048 is about 8992.9999444012. Note that the first 4 decimals coincide. The cubic root of 80874048 is about 432.4504902842.

The spelling of 80874048 in words is "eighty million, eight hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 843 1124 1499 1686 2248 2998 3372 4496 4497 5996 6744 8992 8994 11992 13488 17984 17988 23984 26976 35976 47968 53952 71952 95936 143904 287808 421219 842438 1263657 1684876 2527314 3369752 5054628 6739504 10109256 13479008 20218512 26958016 40437024 80874048