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1490444640 = 253251317901
BaseRepresentation
bin101100011010110…
…0110000101100000
310211212112102200100
41120311212011200
511023023212030
6403521222400
751635366436
oct13065460540
93755472610
101490444640
116a5354133
12357191a00
131a9a27c09
14101d36d56
158acad360
hex58d66160

1490444640 has 144 divisors (see below), whose sum is σ = 5125616496. Its totient is φ = 394368000.

The previous prime is 1490444633. The next prime is 1490444653. The reversal of 1490444640 is 464440941.

1490444640 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 4 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1490444595 and 1490444604.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 184690 + ... + 192590.

It is an arithmetic number, because the mean of its divisors is an integer number (35594559).

Almost surely, 21490444640 is an apocalyptic number.

1490444640 is a gapful number since it is divisible by the number (10) 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 1490444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562808248).

1490444640 is an abundant number, since it is smaller than the sum of its proper divisors (3635171856).

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

1490444640 is a wasteful number, since it uses less digits than its factorization.

1490444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1490444640 is about 38606.2772098010. The cubic root of 1490444640 is about 1142.2783613397.

The spelling of 1490444640 in words is "one billion, four hundred ninety million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4716 5240 5895 6288 7860 7901 9432 10480 11790 12576 15720 15802 18864 20960 23580 23703 31440 31604 37728 39505 47160 47406 62880 63208 71109 79010 94320 94812 118515 126416 142218 158020 188640 189624 237030 252832 284436 316040 355545 379248 474060 568872 632080 711090 758496 948120 1035031 1137744 1264160 1422180 1896240 2070062 2275488 2844360 3105093 3792480 4140124 5175155 5688720 6210186 8280248 9315279 10350310 11377440 12420372 15525465 16560496 18630558 20700620 24840744 31050930 33120992 37261116 41401240 46576395 49681488 62101860 74522232 82802480 93152790 99362976 124203720 149044464 165604960 186305580 248407440 298088928 372611160 496814880 745222320 1490444640