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80944416 = 2532740151
BaseRepresentation
bin1001101001100…
…01110100100000
312122022101212100
410310301310200
5131210210131
612010530400
72002005360
oct464616440
9178271770
1080944416
1141766813
1223136a00
1313a01207
14aa709a0
15718d7e6
hex4d31d20

80944416 has 72 divisors (see below), whose sum is σ = 263075904. Its totient is φ = 23126400.

The previous prime is 80944411. The next prime is 80944421. The reversal of 80944416 is 61444908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80944411) and next prime (80944421).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (80944411) 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 11 ways as a sum of consecutive naturals, for example, 18060 + ... + 22091.

It is an arithmetic number, because the mean of its divisors is an integer number (3653832).

Almost surely, 280944416 is an apocalyptic number.

It is an amenable number.

80944416 is an abundant number, since it is smaller than the sum of its proper divisors (182131488).

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

80944416 is a wasteful number, since it uses less digits than its factorization.

80944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40174 (or 40163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80944416 is about 8996.9114700546. The cubic root of 80944416 is about 432.5758780745.

The spelling of 80944416 in words is "eighty million, nine hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 40151 80302 120453 160604 240906 281057 321208 361359 481812 562114 642416 722718 843171 963624 1124228 1284832 1445436 1686342 1927248 2248456 2529513 2890872 3372684 3854496 4496912 5059026 5781744 6745368 8993824 10118052 11563488 13490736 20236104 26981472 40472208 80944416