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4480859340 = 2232550948907
BaseRepresentation
bin1000010110001010…
…00111110011001100
3102120021112020110100
410023011013303030
533134044444330
62020344211100
7216016450566
oct41305076314
912507466410
104480859340
11199a367a41
12a50769a90
13565434579
14307166336
151b35ac060
hex10b147ccc

4480859340 has 72 divisors (see below), whose sum is σ = 13618921680. Its totient is φ = 1192523904.

The previous prime is 4480859329. The next prime is 4480859377. The reversal of 4480859340 is 439580844.

It is a happy number.

4480859340 is a `hidden beast` number, since 4 + 480 + 85 + 93 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67167 + ... + 116073.

It is an arithmetic number, because the mean of its divisors is an integer number (189151690).

Almost surely, 24480859340 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 4480859340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809460840).

4480859340 is an abundant number, since it is smaller than the sum of its proper divisors (9138062340).

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

4480859340 is a wasteful number, since it uses less digits than its factorization.

4480859340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49431 (or 49426 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4480859340 is about 66939.2212383741. The cubic root of 4480859340 is about 1648.6195175094.

The spelling of 4480859340 in words is "four billion, four hundred eighty million, eight hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 509 1018 1527 2036 2545 3054 4581 5090 6108 7635 9162 10180 15270 18324 22905 30540 45810 48907 91620 97814 146721 195628 244535 293442 440163 489070 586884 733605 880326 978140 1467210 1760652 2200815 2934420 4401630 8803260 24893663 49787326 74680989 99574652 124468315 149361978 224042967 248936630 298723956 373404945 448085934 497873260 746809890 896171868 1120214835 1493619780 2240429670 4480859340