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80590144 = 263734033
BaseRepresentation
bin1001100110110…
…11010101000000
312121122101220011
410303123111000
5131112341034
611555154304
71666001455
oct463332500
9177571804
1080590144
1141544628
1222ba5994
1313908b9b
14a9bb82c
15711d864
hex4cdb540

80590144 has 28 divisors (see below), whose sum is σ = 164248084. Its totient is φ = 39204864.

The previous prime is 80590129. The next prime is 80590163. The reversal of 80590144 is 44109508.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65286400 + 15303744 = 8080^2 + 3912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14649 + ... + 19384.

It is an arithmetic number, because the mean of its divisors is an integer number (5866003).

Almost surely, 280590144 is an apocalyptic number.

It is an amenable number.

80590144 is an abundant number, since it is smaller than the sum of its proper divisors (83657940).

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

80590144 is a wasteful number, since it uses less digits than its factorization.

80590144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34082 (or 34072 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 80590144 is about 8977.2013456311. The cubic root of 80590144 is about 431.9438655914.

The spelling of 80590144 in words is "eighty million, five hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 34033 68066 136132 272264 544528 1089056 1259221 2178112 2518442 5036884 10073768 20147536 40295072 80590144