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1490437248 = 27341137691
BaseRepresentation
bin101100011010110…
…0100010010000000
310211212112001112120
41120311210102000
511023022442443
6403521124240
751635336046
oct13065442200
93755461476
101490437248
116a5349623
12357189680
131a9a24741
14101d34396
158acab083
hex58d64480

1490437248 has 128 divisors (see below), whose sum is σ = 4091048640. Its totient is φ = 480460800.

The previous prime is 1490437229. The next prime is 1490437253. The reversal of 1490437248 is 8427340941.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2156583 + ... + 2157273.

Almost surely, 21490437248 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 1490437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045524320).

1490437248 is an abundant number, since it is smaller than the sum of its proper divisors (2600611392).

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

1490437248 is a wasteful number, since it uses less digits than its factorization.

1490437248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1490437248 is about 38606.1814739557. The cubic root of 1490437248 is about 1142.2764729244.

The spelling of 1490437248 in words is "one billion, four hundred ninety million, four hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 137 164 192 246 274 328 384 411 492 548 656 691 822 984 1096 1312 1382 1644 1968 2073 2192 2624 2764 3288 3936 4146 4384 5248 5528 5617 6576 7872 8292 8768 11056 11234 13152 15744 16584 16851 17536 22112 22468 26304 28331 33168 33702 44224 44936 52608 56662 66336 67404 84993 88448 89872 94667 113324 132672 134808 169986 179744 189334 226648 265344 269616 284001 339972 359488 378668 453296 539232 568002 679944 718976 757336 906592 1078464 1136004 1359888 1514672 1813184 2156928 2272008 2719776 3029344 3626368 3881347 4544016 5439552 6058688 7762694 9088032 10879104 11644041 12117376 15525388 18176064 23288082 31050776 36352128 46576164 62101552 93152328 124203104 186304656 248406208 372609312 496812416 745218624 1490437248