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80005248 = 2732371877
BaseRepresentation
bin1001100010011…
…00100010000000
312120112200120100
410301030202000
5130440131443
611534442400
71661014311
oct461144200
9176480510
1080005248
1141185144
1222963400
13137628ab
14a8a8608
1570553d3
hex4c4c880

80005248 has 96 divisors (see below), whose sum is σ = 236571660. Its totient is φ = 25933824.

The previous prime is 80005223. The next prime is 80005279. The reversal of 80005248 is 84250008.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 6594624 = 8568^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41686 + ... + 43562.

Almost surely, 280005248 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 80005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118285830).

80005248 is an abundant number, since it is smaller than the sum of its proper divisors (156566412).

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

80005248 is a wasteful number, since it uses less digits than its factorization.

80005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1919 counting only the distinct ones).

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

The square root of 80005248 is about 8944.5652773067. The cubic root of 80005248 is about 430.8963598614.

The spelling of 80005248 in words is "eighty million, five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 1877 2368 2664 3552 3754 4736 5328 5631 7104 7508 10656 11262 14208 15016 16893 21312 22524 30032 33786 42624 45048 60064 67572 69449 90096 120128 135144 138898 180192 208347 240256 270288 277796 360384 416694 540576 555592 625041 720768 833388 1081152 1111184 1250082 1666776 2162304 2222368 2500164 3333552 4444736 5000328 6667104 8889472 10000656 13334208 20001312 26668416 40002624 80005248