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1485603328 = 29113167127
BaseRepresentation
bin101100010001100…
…1000001000000000
310211112102110122111
41120203020020000
511020303301303
6403225345104
751546264016
oct13043101000
93745373574
101485603328
116a2647850
12355638194
131a8a21431
141014368b6
158a653b6d
hex588c8200

1485603328 has 160 divisors (see below), whose sum is σ = 3419209728. Its totient is φ = 638668800.

The previous prime is 1485603323. The next prime is 1485603349. The reversal of 1485603328 is 8233065841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485603323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11697601 + ... + 11697727.

Almost surely, 21485603328 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 1485603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709604864).

1485603328 is an abundant number, since it is smaller than the sum of its proper divisors (1933606400).

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

1485603328 is a wasteful number, since it uses less digits than its factorization.

1485603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 1485603328 is about 38543.5251112298. The cubic root of 1485603328 is about 1141.0402242247.

The spelling of 1485603328 in words is "one billion, four hundred eighty-five million, six hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 67 88 124 127 128 134 176 248 254 256 268 341 352 496 508 512 536 682 704 737 992 1016 1072 1364 1397 1408 1474 1984 2032 2077 2144 2728 2794 2816 2948 3937 3968 4064 4154 4288 5456 5588 5632 5896 7874 7936 8128 8308 8509 8576 10912 11176 11792 15748 15872 16256 16616 17018 17152 21824 22352 22847 23584 31496 32512 33232 34036 34304 43307 43648 44704 45694 47168 62992 65024 66464 68072 86614 87296 89408 91388 93599 94336 125984 132928 136144 173228 174592 178816 182776 187198 188672 251968 263779 265856 272288 346456 357632 365552 374396 377344 503936 527558 531712 544576 692912 715264 731104 748792 1007872 1055116 1063424 1089152 1385824 1462208 1497584 2015744 2110232 2178304 2771648 2901569 2924416 2995168 4220464 4356608 5543296 5803138 5848832 5990336 8440928 11086592 11606276 11697664 11980672 16881856 22173184 23212552 23961344 33763712 46425104 47922688 67527424 92850208 135054848 185700416 371400832 742801664 1485603328