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4381448490 = 233552131147
BaseRepresentation
bin1000001010010011…
…11001100100101010
3102022100110122102000
410011021321210222
532433122322430
62002433351430
7213401461206
oct40511714452
912270418360
104381448490
111949239111
12a23408576
1354a968c93
142d7c89b06
151a99c1e60
hex10527992a

4381448490 has 64 divisors (see below), whose sum is σ = 11706664320. Its totient is φ = 1166106240.

The previous prime is 4381448483. The next prime is 4381448497. The reversal of 4381448490 is 948441834.

4381448490 is a `hidden beast` number, since 4 + 3 + 81 + 4 + 484 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (4381448483) and next prime (4381448497).

It is a super-3 number, since 3×43814484903 (a number of 30 digits) contains 333 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4381448497) 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, 125097 + ... + 156243.

It is an arithmetic number, because the mean of its divisors is an integer number (182916630).

Almost surely, 24381448490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4381448490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853332160).

4381448490 is an abundant number, since it is smaller than the sum of its proper divisors (7325215830).

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

4381448490 is a wasteful number, since it uses less digits than its factorization.

4381448490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31684 (or 31678 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4381448490 is about 66192.5108301536. The cubic root of 4381448490 is about 1636.3363201753.

The spelling of 4381448490 in words is "four billion, three hundred eighty-one million, four hundred forty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 521 1042 1563 2605 3126 4689 5210 7815 9378 14067 15630 23445 28134 31147 46890 62294 70335 93441 140670 155735 186882 280323 311470 467205 560646 840969 934410 1401615 1681938 2803230 4204845 8409690 16227587 32455174 48682761 81137935 97365522 146048283 162275870 243413805 292096566 438144849 486827610 730241415 876289698 1460482830 2190724245 4381448490