Search a number
-
+
3919563424 = 257137337379
BaseRepresentation
bin1110100110011111…
…1100101010100000
3101010011100110012201
43221213330222200
531011402012144
61444533502544
7166062511420
oct35147745240
911104313181
103919563424
111731545017
129147a1a54
134a606a6ca
142927b6480
1517e1871d4
hexe99fcaa0

3919563424 has 96 divisors (see below), whose sum is σ = 8933258880. Its totient is φ = 1658216448.

The previous prime is 3919563379. The next prime is 3919563437. The reversal of 3919563424 is 4243659193.

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, 10341667 + ... + 10342045.

It is an arithmetic number, because the mean of its divisors is an integer number (93054780).

Almost surely, 23919563424 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 3919563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466629440).

3919563424 is an abundant number, since it is smaller than the sum of its proper divisors (5013695456).

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

3919563424 is a wasteful number, since it uses less digits than its factorization.

3919563424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 699840, while the sum is 46.

The square root of 3919563424 is about 62606.4167957247. The cubic root of 3919563424 is about 1576.6884955914.

The spelling of 3919563424 in words is "three billion, nine hundred nineteen million, five hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 337 379 548 674 758 959 1096 1348 1516 1918 2192 2359 2653 2696 3032 3836 4384 4718 5306 5392 6064 7672 9436 10612 10784 12128 15344 18872 21224 30688 37744 42448 46169 51923 75488 84896 92338 103846 127723 184676 207692 255446 323183 363461 369352 415384 510892 646366 726922 738704 830768 894061 1021784 1292732 1453844 1477408 1661536 1788122 2043568 2585464 2907688 3576244 4087136 5170928 5815376 7152488 10341856 11630752 14304976 17498051 28609952 34996102 69992204 122486357 139984408 244972714 279968816 489945428 559937632 979890856 1959781712 3919563424