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4413242448 = 243373139943
BaseRepresentation
bin1000001110000110…
…01011110001010000
3102101120021221112000
410013003023301100
533014242224243
62005531034000
7214235641026
oct40703136120
912346257460
104413242448
11196518440a
12a31b9b900
1355441b684
142dc1a4716
151ac6a25d3
hex1070cbc50

4413242448 has 80 divisors (see below), whose sum is σ = 12841261440. Its totient is φ = 1450918656.

The previous prime is 4413242447. The next prime is 4413242453. The reversal of 4413242448 is 8442423144.

4413242448 is a `hidden beast` number, since 44 + 132 + 42 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413242443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38436 + ... + 101507.

It is an arithmetic number, because the mean of its divisors is an integer number (160515768).

Almost surely, 24413242448 is an apocalyptic number.

4413242448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4413242448 is an abundant number, since it is smaller than the sum of its proper divisors (8428018992).

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

4413242448 is a wasteful number, since it uses less digits than its factorization.

4413242448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140033 (or 140021 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 4413242448 is about 66432.2395226896. The cubic root of 4413242448 is about 1640.2848067732.

The spelling of 4413242448 in words is "four billion, four hundred thirteen million, two hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 139943 279886 419829 559772 839658 1119544 1259487 1679316 2239088 2518974 3358632 3778461 5037948 6717264 7556922 10075896 10215839 15113844 20151792 20431678 30227688 30647517 40863356 60455376 61295034 81726712 91942551 122590068 163453424 183885102 245180136 275827653 367770204 490360272 551655306 735540408 1103310612 1471080816 2206621224 4413242448