Search a number
-
+
4249626816 = 263173141999
BaseRepresentation
bin1111110101001100…
…0010100011000000
3101222011102102001210
43331103002203000
532200401024231
61541404130120
7210211142361
oct37523024300
911864372053
104249626816
111890892586
129a7236940
135295632a6
142c4573b68
1519d133a46
hexfd4c28c0

4249626816 has 112 divisors (see below), whose sum is σ = 12289536000. Its totient is φ = 1290178560.

The previous prime is 4249626751. The next prime is 4249626817. The reversal of 4249626816 is 6186269424.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4249626817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80185 + ... + 122183.

It is an arithmetic number, because the mean of its divisors is an integer number (109728000).

Almost surely, 24249626816 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 4249626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768000).

4249626816 is an abundant number, since it is smaller than the sum of its proper divisors (8039909184).

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

4249626816 is a wasteful number, since it uses less digits than its factorization.

4249626816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42062 (or 42052 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 4249626816 is about 65189.1617985689. The cubic root of 4249626816 is about 1619.7584886122.

The spelling of 4249626816 in words is "four billion, two hundred forty-nine million, six hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2976 3162 3264 4216 5952 6324 8432 12648 16864 25296 33728 41999 50592 83998 101184 125997 167996 251994 335992 503988 671984 713983 1007976 1301969 1343968 1427966 2015952 2141949 2603938 2687936 2855932 3905907 4031904 4283898 5207876 5711864 7811814 8063808 8567796 10415752 11423728 15623628 17135592 20831504 22133473 22847456 31247256 34271184 41663008 44266946 45694912 62494512 66400419 68542368 83326016 88533892 124989024 132800838 137084736 177067784 249978048 265601676 354135568 531203352 708271136 1062406704 1416542272 2124813408 4249626816