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80442024 = 23313318317
BaseRepresentation
bin1001100101101…
…11001010101000
312121100212201020
410302313022220
5131043121044
611552052440
71664513565
oct462671250
9177325636
1080442024
1141453313
1222b34120
1313886640
14a97d86c
1570dea19
hex4cb72a8

80442024 has 64 divisors (see below), whose sum is σ = 223587840. Its totient is φ = 23950080.

The previous prime is 80442013. The next prime is 80442031. The reversal of 80442024 is 42024408.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 80441985 and 80442003.

It is an unprimeable number.

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, 5514 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (3493560).

Almost surely, 280442024 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 80442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111793920).

80442024 is an abundant number, since it is smaller than the sum of its proper divisors (143145816).

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

80442024 is a wasteful number, since it uses less digits than its factorization.

80442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 80442024 is about 8968.9477643701. The cubic root of 80442024 is about 431.6790740625.

The spelling of 80442024 in words is "eighty million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 8317 9672 16634 24951 33268 49902 66536 99804 108121 199608 216242 257827 324363 432484 515654 648726 773481 864968 1031308 1297452 1546962 2062616 2594904 3093924 3351751 6187848 6703502 10055253 13407004 20110506 26814008 40221012 80442024