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4262428192 = 2511611791109
BaseRepresentation
bin1111111000001111…
…0111111000100000
3102000001111210020211
43332003313320200
532212140200232
61542542343504
7210425020231
oct37603677040
912001453224
104262428192
111898036430
129ab58ab94
1352c0c5c79
142c6147088
1519e311a47
hexfe0f7e20

4262428192 has 96 divisors (see below), whose sum is σ = 9365025600. Its totient is φ = 1893350400.

The previous prime is 4262428153. The next prime is 4262428193. The reversal of 4262428192 is 2918242624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4262428193) 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, 3842934 + ... + 3844042.

It is an arithmetic number, because the mean of its divisors is an integer number (97552350).

Almost surely, 24262428192 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 4262428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682512800).

4262428192 is an abundant number, since it is smaller than the sum of its proper divisors (5102597408).

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

4262428192 is a wasteful number, since it uses less digits than its factorization.

4262428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 4262428192 is about 65287.2743496005. The cubic root of 4262428192 is about 1621.3832863175.

It can be divided in two parts, 426242 and 8192, that added together give a palindrome (434434).

The spelling of 4262428192 in words is "four billion, two hundred sixty-two million, four hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 179 244 352 358 488 671 716 976 1109 1342 1432 1952 1969 2218 2684 2864 3938 4436 5368 5728 7876 8872 10736 10919 12199 15752 17744 21472 21838 24398 31504 35488 43676 48796 63008 67649 87352 97592 120109 135298 174704 195184 198511 240218 270596 349408 390368 397022 480436 541192 744139 794044 960872 1082384 1488278 1588088 1921744 2164768 2183621 2976556 3176176 3843488 4367242 5953112 6352352 8734484 11906224 12109171 17468968 23812448 24218342 34937936 48436684 69875872 96873368 133200881 193746736 266401762 387493472 532803524 1065607048 2131214096 4262428192