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4153102304 = 251310991591
BaseRepresentation
bin1111011110001011…
…0100111111100000
3101201102210110022212
43313202310333200
532001143233204
61524035221252
7204626533661
oct36742647740
911642713285
104153102304
11184135525a
1297aa47828
135125686b0
142b5809368
15194918c6e
hexf78b4fe0

4153102304 has 48 divisors (see below), whose sum is σ = 8886255840. Its totient is φ = 1899210240.

The previous prime is 4153102297. The next prime is 4153102309. The reversal of 4153102304 is 4032013514.

It is a self number, because there is not a number n which added to its sum of digits gives 4153102304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153102309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452 + ... + 91139.

It is an arithmetic number, because the mean of its divisors is an integer number (185130330).

Almost surely, 24153102304 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 4153102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443127920).

4153102304 is an abundant number, since it is smaller than the sum of its proper divisors (4733153536).

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

4153102304 is a wasteful number, since it uses less digits than its factorization.

4153102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91723 (or 91715 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4153102304 is about 64444.5676841733. The cubic root of 4153102304 is about 1607.4009096357.

Adding to 4153102304 its reverse (4032013514), we get a palindrome (8185115818).

The spelling of 4153102304 in words is "four billion, one hundred fifty-three million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3488 5668 11336 22672 45344 91591 183182 366364 732728 1190683 1465456 2381366 2930912 4762732 9525464 9983419 19050928 19966838 38101856 39933676 79867352 129784447 159734704 259568894 319469408 519137788 1038275576 2076551152 4153102304