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80241876 = 2232112132109
BaseRepresentation
bin1001100100001…
…10010011010100
312120222201011100
410302012103110
5131020220001
611543510100
71663021221
oct462062324
9176881140
1080241876
1141326a00
1222a58330
1313816500
14a92a948
1570a0586
hex4c864d4

80241876 has 162 divisors, whose sum is σ = 243633390. Its totient is φ = 22239360.

The previous prime is 80241851. The next prime is 80241877. The reversal of 80241876 is 67814208.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 79388100 = 924^2 + 8910^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 80241876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80241877) 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 53 ways as a sum of consecutive naturals, for example, 736110 + ... + 736218.

Almost surely, 280241876 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 80241876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121816695).

80241876 is an abundant number, since it is smaller than the sum of its proper divisors (163391514).

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

80241876 is a wasteful number, since it uses less digits than its factorization.

80241876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 80241876 is about 8957.7829846453. The cubic root of 80241876 is about 431.3207561281.

The spelling of 80241876 in words is "eighty million, two hundred forty-one thousand, eight hundred seventy-six".