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1478008840 = 2357113111543
BaseRepresentation
bin101100000011000…
…1010000000001000
310211000010121222011
41120012022000020
511011332240330
6402354505304
751424603450
oct13006120010
93730117864
101478008840
1169932aa10
12352b95234
131a7292759
1410041ad60
1589b5382a
hex5818a008

1478008840 has 128 divisors (see below), whose sum is σ = 4162129920. Its totient is φ = 458899200.

The previous prime is 1478008837. The next prime is 1478008843. The reversal of 1478008840 is 488008741.

It is an interprime number because it is at equal distance from previous prime (1478008837) and next prime (1478008843).

It is a super-2 number, since 2×14780088402 = 4369020262236291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1478008793 and 1478008802.

It is not an unprimeable number, because it can be changed into a prime (1478008843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957109 + ... + 958651.

It is an arithmetic number, because the mean of its divisors is an integer number (32516640).

Almost surely, 21478008840 is an apocalyptic number.

1478008840 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 1478008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081064960).

1478008840 is an abundant number, since it is smaller than the sum of its proper divisors (2684121080).

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

1478008840 is a wasteful number, since it uses less digits than its factorization.

1478008840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 1478008840 is about 38444.8805434482. The cubic root of 1478008840 is about 1139.0925475737.

Subtracting from 1478008840 its reverse (488008741), we obtain a palindrome (990000099).

The spelling of 1478008840 in words is "one billion, four hundred seventy-eight million, eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 311 385 440 616 622 770 1244 1540 1543 1555 2177 2488 3080 3086 3110 3421 4354 6172 6220 6842 7715 8708 10801 10885 12344 12440 13684 15430 16973 17105 17416 21602 21770 23947 27368 30860 33946 34210 43204 43540 47894 54005 61720 67892 68420 84865 86408 87080 95788 108010 118811 119735 135784 136840 169730 191576 216020 237622 239470 339460 432040 475244 478940 479873 594055 678920 950488 957880 959746 1188110 1919492 2376220 2399365 3359111 3838984 4752440 4798730 5278603 6718222 9597460 10557206 13436444 16795555 19194920 21114412 26393015 26872888 33591110 36950221 42228824 52786030 67182220 73900442 105572060 134364440 147800884 184751105 211144120 295601768 369502210 739004420 1478008840