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1490603328 = 26328929077
BaseRepresentation
bin101100011011000…
…1100110101000000
310211212211111100200
41120312030311000
511023043301303
6403524445200
751636630204
oct13066146500
93755744320
101490603328
116a5452385
12357249800
131a9a82206
14101d78b04
158ace03a3
hex58d8cd40

1490603328 has 84 divisors (see below), whose sum is σ = 4320700020. Its totient is φ = 491268096.

The previous prime is 1490603321. The next prime is 1490603329. The reversal of 1490603328 is 8233060941.

1490603328 is a `hidden beast` number, since 1 + 49 + 0 + 603 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 739404864 + 751198464 = 27192^2 + 27408^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1490603292 and 1490603301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490603321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36726 + ... + 65802.

It is an arithmetic number, because the mean of its divisors is an integer number (51436905).

Almost surely, 21490603328 is an apocalyptic number.

1490603328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1490603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160350010).

1490603328 is an abundant number, since it is smaller than the sum of its proper divisors (2830096692).

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

1490603328 is a wasteful number, since it uses less digits than its factorization.

1490603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29184 (or 29171 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1490603328 is about 38608.3323649183. The cubic root of 1490603328 is about 1142.3188994518.

The spelling of 1490603328 in words is "one billion, four hundred ninety million, six hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 801 1068 1424 1602 2136 2848 3204 4272 5696 6408 8544 12816 17088 25632 29077 51264 58154 87231 116308 174462 232616 261693 348924 465232 523386 697848 930464 1046772 1395696 1860928 2093544 2587853 2791392 4187088 5175706 5582784 7763559 8374176 10351412 15527118 16748352 20702824 23290677 31054236 41405648 46581354 62108472 82811296 93162708 124216944 165622592 186325416 248433888 372650832 496867776 745301664 1490603328