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5078592 = 26332939
BaseRepresentation
bin10011010111111001000000
3100120000112000
4103113321000
52300003332
6300504000
761111251
oct23277100
910500460
105078592
112959692
12184b000
13108a7ac
14962b28
156a4b7c
hex4d7e40

5078592 has 56 divisors (see below), whose sum is σ = 14935200. Its totient is φ = 1692288.

The previous prime is 5078581. The next prime is 5078599. The reversal of 5078592 is 2958705.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5078599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 3197.

It is an arithmetic number, because the mean of its divisors is an integer number (266700).

Almost surely, 25078592 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 5078592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467600).

5078592 is an abundant number, since it is smaller than the sum of its proper divisors (9856608).

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

5078592 is a wasteful number, since it uses less digits than its factorization.

5078592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5078592 is about 2253.5731627795. The cubic root of 5078592 is about 171.8888772046. Note that the first 4 decimals are identical.

The spelling of 5078592 in words is "five million, seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2939 5878 8817 11756 17634 23512 26451 35268 47024 52902 70536 79353 94048 105804 141072 158706 188096 211608 282144 317412 423216 564288 634824 846432 1269648 1692864 2539296 5078592