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80241616 = 2472137873
BaseRepresentation
bin1001100100001…
…10001111010000
312120222200210201
410302012033100
5131020212431
611543504544
71663020400
oct462061720
9176880721
1080241616
1141326794
1222a58154
1313816360
14a92a800
1570a0461
hex4c863d0

80241616 has 60 divisors (see below), whose sum is σ = 194787012. Its totient is φ = 31739904.

The previous prime is 80241611. The next prime is 80241697. The reversal of 80241616 is 61614208.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 73891216 = 2520^2 + 8596^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80241611) 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 11 ways as a sum of consecutive naturals, for example, 6256 + ... + 14128.

Almost surely, 280241616 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 80241616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97393506).

80241616 is an abundant number, since it is smaller than the sum of its proper divisors (114545396).

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

80241616 is a wasteful number, since it uses less digits than its factorization.

80241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 80241616 is about 8957.7684721140. The cubic root of 80241616 is about 431.3202902720.

The spelling of 80241616 in words is "eighty million, two hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 7873 10192 15746 31492 55111 62984 102349 110222 125968 204698 220444 385777 409396 440888 716443 771554 818792 881776 1432886 1543108 1637584 2865772 3086216 5015101 5731544 6172432 10030202 11463088 20060404 40120808 80241616