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80442936 = 2333783641
BaseRepresentation
bin1001100101101…
…11011000111000
312121100220222000
410302313120320
5131043133221
611552101000
71664516340
oct462673070
9177326860
1080442936
1141453a72
1222b34760
1313886b92
14a97dd20
1570dee26
hex4cb7638

80442936 has 128 divisors (see below), whose sum is σ = 258854400. Its totient is φ = 22671360.

The previous prime is 80442907. The next prime is 80442959. The reversal of 80442936 is 63924408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80442936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125176 + ... + 125816.

It is an arithmetic number, because the mean of its divisors is an integer number (2022300).

Almost surely, 280442936 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 80442936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129427200).

80442936 is an abundant number, since it is smaller than the sum of its proper divisors (178411464).

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

80442936 is a wasteful number, since it uses less digits than its factorization.

80442936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 80442936 is about 8968.9986063105. The cubic root of 80442936 is about 431.6807054230.

The spelling of 80442936 in words is "eighty million, four hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 498 504 581 641 664 747 756 996 1162 1282 1494 1512 1743 1923 1992 2241 2324 2564 2988 3486 3846 4482 4487 4648 5128 5229 5769 5976 6972 7692 8964 8974 10458 11538 13461 13944 15384 15687 17307 17928 17948 20916 23076 26922 31374 34614 35896 40383 41832 46152 53203 53844 62748 69228 80766 106406 107688 121149 125496 138456 159609 161532 212812 242298 319218 323064 372421 425624 478827 484596 638436 744842 957654 969192 1117263 1276872 1436481 1489684 1915308 2234526 2872962 2979368 3351789 3830616 4469052 5745924 6703578 8938104 10055367 11491848 13407156 20110734 26814312 40221468 80442936