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80042480 = 245732917
BaseRepresentation
bin1001100010101…
…01100111110000
312120121120122022
410301111213300
5130442324410
611535331012
71661231000
oct461254760
9176546568
1080042480
1141200111
1222980a68
131377681b
14a8b8000
157061455
hex4c559f0

80042480 has 80 divisors (see below), whose sum is σ = 217099200. Its totient is φ = 27433728.

The previous prime is 80042471. The next prime is 80042483. The reversal of 80042480 is 8424008.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80042483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25982 + ... + 28898.

It is an arithmetic number, because the mean of its divisors is an integer number (2713740).

Almost surely, 280042480 is an apocalyptic number.

80042480 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 80042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108549600).

80042480 is an abundant number, since it is smaller than the sum of its proper divisors (137056720).

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

80042480 is a wasteful number, since it uses less digits than its factorization.

80042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 80042480 is about 8946.6462990330. The cubic root of 80042480 is about 430.9631914991.

Adding to 80042480 its reverse (8424008), we get a palindrome (88466488).

The spelling of 80042480 in words is "eighty million, forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 2917 3430 3920 5488 5834 6860 11668 13720 14585 20419 23336 27440 29170 40838 46672 58340 81676 102095 116680 142933 163352 204190 233360 285866 326704 408380 571732 714665 816760 1000531 1143464 1429330 1633520 2001062 2286928 2858660 4002124 5002655 5717320 8004248 10005310 11434640 16008496 20010620 40021240 80042480