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4490662400 = 2952750119
BaseRepresentation
bin1000010111010101…
…00001001000000000
3102120221222021201122
410023222201020000
533144102144100
62021334251412
7216166000130
oct41352411000
912527867648
104490662400
1119a4953144
12a53ab6b68
135674875b3
14308598ac0
151b4396985
hex10baa1200

4490662400 has 120 divisors (see below), whose sum is σ = 12715644480. Its totient is φ = 1539624960.

The previous prime is 4490662399. The next prime is 4490662403. The reversal of 4490662400 is 42660944.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (4490662403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64541 + ... + 114659.

It is an arithmetic number, because the mean of its divisors is an integer number (105963704).

Almost surely, 24490662400 is an apocalyptic number.

4490662400 is a gapful number since it is divisible by the number (40) 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 4490662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357822240).

4490662400 is an abundant number, since it is smaller than the sum of its proper divisors (8224982080).

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

4490662400 is an equidigital number, since it uses as much as digits as its factorization.

4490662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50154 (or 50133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 4490662400 is about 67012.4048217940. The cubic root of 4490662400 is about 1649.8209049568.

The spelling of 4490662400 in words is "four billion, four hundred ninety million, six hundred sixty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 50119 89600 100238 200476 250595 350833 400952 501190 701666 801904 1002380 1252975 1403332 1603808 1754165 2004760 2505950 2806664 3207616 3508330 4009520 5011900 5613328 6415232 7016660 8019040 8770825 10023800 11226656 12830464 14033320 16038080 17541650 20047600 22453312 25660928 28066640 32076160 35083300 40095200 44906624 56133280 64152320 70166600 80190400 89813248 112266560 128304640 140333200 160380800 179626496 224533120 280666400 320761600 449066240 561332800 641523200 898132480 1122665600 2245331200 4490662400