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80079468 = 223723181229
BaseRepresentation
bin1001100010111…
…10101001101100
312120200110101020
410301132221230
5131000020333
611540214140
71661443560
oct461365154
9176613336
1080079468
1141225987
122299a350
131378a601
14a8c76a0
15706c3b3
hex4c5ea6c

80079468 has 96 divisors (see below), whose sum is σ = 225039360. Its totient is φ = 21669120.

The previous prime is 80079463. The next prime is 80079473. The reversal of 80079468 is 86497008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80079463) and next prime (80079473).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80079463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349578 + ... + 349806.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 280079468 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 80079468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112519680).

80079468 is an abundant number, since it is smaller than the sum of its proper divisors (144959892).

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

80079468 is a wasteful number, since it uses less digits than its factorization.

80079468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 80079468 is about 8948.7132035841. The cubic root of 80079468 is about 431.0295646374.

The spelling of 80079468 in words is "eighty million, seventy-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 181 229 276 322 362 458 483 543 644 687 724 916 966 1086 1267 1374 1603 1932 2172 2534 2748 3206 3801 4163 4809 5068 5267 6412 7602 8326 9618 10534 12489 15204 15801 16652 19236 21068 24978 29141 31602 36869 41449 49956 58282 63204 73738 82898 87423 110607 116564 124347 147476 165796 174846 221214 248694 290143 349692 442428 497388 580286 870429 953327 1160572 1740858 1906654 2859981 3481716 3813308 5719962 6673289 11439924 13346578 20019867 26693156 40039734 80079468