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80405028 = 223311531277
BaseRepresentation
bin1001100101011…
…10001000100100
312121021222222000
410302232020210
5131040430103
611551205300
71664300664
oct462561044
9177258860
1080405028
1141428540
1222b16830
1313872852
14a9701a4
1570d3aa3
hex4cae224

80405028 has 96 divisors (see below), whose sum is σ = 231880320. Its totient is φ = 23886720.

The previous prime is 80405021. The next prime is 80405057. The reversal of 80405028 is 82050408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80404992 and 80405010.

It is not an unprimeable number, because it can be changed into a prime (80405021) 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 31 ways as a sum of consecutive naturals, for example, 62326 + ... + 63602.

It is an arithmetic number, because the mean of its divisors is an integer number (2415420).

Almost surely, 280405028 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 80405028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115940160).

80405028 is an abundant number, since it is smaller than the sum of its proper divisors (151475292).

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

80405028 is a wasteful number, since it uses less digits than its factorization.

80405028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 80405028 is about 8966.8850778852. The cubic root of 80405028 is about 431.6128862370.

The spelling of 80405028 in words is "eighty million, four hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 198 212 297 318 396 477 583 594 636 954 1166 1188 1277 1431 1749 1908 2332 2554 2862 3498 3831 5108 5247 5724 6996 7662 10494 11493 14047 15324 15741 20988 22986 28094 31482 34479 42141 45972 56188 62964 67681 68958 84282 126423 135362 137916 168564 203043 252846 270724 379269 406086 505692 609129 744491 758538 812172 1218258 1488982 1517076 1827387 2233473 2436516 2977964 3654774 4466946 6700419 7309548 8933892 13400838 20101257 26801676 40202514 80405028