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8482967040 = 29351915783
BaseRepresentation
bin1111110011001111…
…11100111000000000
3210220012012101010110
413321213330320000
5114333114421130
63521431231320
7420134013222
oct77147747000
923805171113
108482967040
113663460769
121788b18540
13a52613432
145a68a8412
15349aebab0
hex1f99fce00

8482967040 has 160 divisors (see below), whose sum is σ = 27265683456. Its totient is φ = 2249891840.

The previous prime is 8482967011. The next prime is 8482967041. The reversal of 8482967040 is 407692848.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8482967041) 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, 1463989 + ... + 1469771.

Almost surely, 28482967040 is an apocalyptic number.

8482967040 is a gapful number since it is divisible by the number (80) 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 8482967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632841728).

8482967040 is an abundant number, since it is smaller than the sum of its proper divisors (18782716416).

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

8482967040 is a wasteful number, since it uses less digits than its factorization.

8482967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 8482967040 is about 92103.0240545879. The cubic root of 8482967040 is about 2039.4634498183.

The spelling of 8482967040 in words is "eight billion, four hundred eighty-two million, nine hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 256 320 382 384 480 512 573 640 764 768 955 960 1146 1280 1528 1536 1910 1920 2292 2560 2865 3056 3820 3840 4584 5730 5783 6112 7640 7680 9168 11460 11566 12224 15280 17349 18336 22920 23132 24448 28915 30560 34698 36672 45840 46264 48896 57830 61120 69396 73344 86745 91680 92528 97792 115660 122240 138792 146688 173490 183360 185056 231320 244480 277584 293376 346980 366720 370112 462640 488960 555168 693960 733440 740224 925280 1104553 1110336 1387920 1466880 1480448 1850560 2209106 2220672 2775840 2960896 3313659 3701120 4418212 4441344 5522765 5551680 6627318 7402240 8836424 8882688 11045530 11103360 13254636 14804480 16568295 17672848 22091060 22206720 26509272 33136590 35345696 44182120 44413440 53018544 66273180 70691392 88364240 106037088 132546360 141382784 176728480 212074176 265092720 282765568 353456960 424148352 530185440 565531136 706913920 848296704 1060370880 1413827840 1696593408 2120741760 2827655680 4241483520 8482967040