Search a number
-
+
5048592 = 2431723269
BaseRepresentation
bin10011010000100100010000
3100111111100220
4103100210100
52243023332
6300113040
760624633
oct23204420
910444326
105048592
11293909a
121835780
131079c43
14955c1a
1569ad2c
hex4d0910

5048592 has 80 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 1509376.

The previous prime is 5048591. The next prime is 5048627. The reversal of 5048592 is 2958405.

5048592 = T43 + T44 + ... + T311.

It is a super-4 number, since 4×50485924 (a number of 28 digits) contains 4444 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5048591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18634 + ... + 18902.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 25048592 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 5048592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

5048592 is an abundant number, since it is smaller than the sum of its proper divisors (9414768).

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

5048592 is a wasteful number, since it uses less digits than its factorization.

5048592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5048592 is about 2246.9072076968. The cubic root of 5048592 is about 171.5497508285.

The spelling of 5048592 in words is "five million, forty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 269 272 276 368 391 408 538 552 782 807 816 1076 1104 1173 1564 1614 2152 2346 3128 3228 4304 4573 4692 6187 6256 6456 9146 9384 12374 12912 13719 18292 18561 18768 24748 27438 36584 37122 49496 54876 73168 74244 98992 105179 109752 148488 210358 219504 296976 315537 420716 631074 841432 1262148 1682864 2524296 5048592