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4412201304 = 233728193463
BaseRepresentation
bin1000001101111110…
…01101100101011000
3102101111100001100010
410012333031211120
533014010420204
62005452441520
7214224043440
oct40677154530
912344301303
104412201304
111964633165
12a317792a0
13554145804
142dbdb3120
151ac548d89
hex106fcd958

4412201304 has 64 divisors (see below), whose sum is σ = 12651287040. Its totient is φ = 1256129280.

The previous prime is 4412201291. The next prime is 4412201329. The reversal of 4412201304 is 4031022144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477 + ... + 93939.

It is an arithmetic number, because the mean of its divisors is an integer number (197676360).

Almost surely, 24412201304 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 4412201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325643520).

4412201304 is an abundant number, since it is smaller than the sum of its proper divisors (8239085736).

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

4412201304 is a wasteful number, since it uses less digits than its factorization.

4412201304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93760 (or 93756 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4412201304 is about 66424.4029254310. The cubic root of 4412201304 is about 1640.1558081199.

Adding to 4412201304 its reverse (4031022144), we get a palindrome (8443223448).

The spelling of 4412201304 in words is "four billion, four hundred twelve million, two hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 281 562 843 1124 1686 1967 2248 3372 3934 5901 6744 7868 11802 15736 23604 47208 93463 186926 280389 373852 560778 654241 747704 1121556 1308482 1962723 2243112 2616964 3925446 5233928 7850892 15701784 26263103 52526206 78789309 105052412 157578618 183841721 210104824 315157236 367683442 551525163 630314472 735366884 1103050326 1470733768 2206100652 4412201304