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80417440 = 255717079
BaseRepresentation
bin1001100101100…
…01001010100000
312121022121222201
410302301022200
5131041324230
611551342544
71664352115
oct462611240
9177277881
1080417440
11414368a4
1222b21a54
13138783ac
14a97490c
1570d75ca
hex4cb12a0

80417440 has 48 divisors (see below), whose sum is σ = 192689280. Its totient is φ = 31709440.

The previous prime is 80417437. The next prime is 80417461. The reversal of 80417440 is 4471408.

It is a junction number, because it is equal to n+sod(n) for n = 80417399 and 80417408.

It is a congruent number.

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, 7821 + ... + 14899.

It is an arithmetic number, because the mean of its divisors is an integer number (4014360).

Almost surely, 280417440 is an apocalyptic number.

80417440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96344640).

80417440 is an abundant number, since it is smaller than the sum of its proper divisors (112271840).

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

80417440 is a wasteful number, since it uses less digits than its factorization.

80417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 80417440 is about 8967.5771532784. The cubic root of 80417440 is about 431.6350942325.

Adding to 80417440 its reverse (4471408), we get a palindrome (84888848).

The spelling of 80417440 in words is "eighty million, four hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 7079 11360 14158 28316 35395 56632 70790 113264 141580 226528 283160 502609 566320 1005218 1132640 2010436 2513045 4020872 5026090 8041744 10052180 16083488 20104360 40208720 80417440