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5078112 = 253132313
BaseRepresentation
bin10011010111110001100000
3100112222212020
4103113301200
52244444422
6300501440
761106664
oct23276140
910488766
105078112
112959296
12184a880
13108a500
149628a4
156a495c
hex4d7c60

5078112 has 72 divisors (see below), whose sum is σ = 14480424. Its totient is φ = 1557504.

The previous prime is 5078083. The next prime is 5078119. The reversal of 5078112 is 2118705.

5078112 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5078119) 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 11 ways as a sum of consecutive naturals, for example, 16068 + ... + 16380.

It is an arithmetic number, because the mean of its divisors is an integer number (201117).

Almost surely, 25078112 is an apocalyptic number.

5078112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5078112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240212).

5078112 is an abundant number, since it is smaller than the sum of its proper divisors (9402312).

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

5078112 is a wasteful number, since it uses less digits than its factorization.

5078112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 5078112 is about 2253.4666627221. The cubic root of 5078112 is about 171.8834617101.

It can be divided in two parts, 507 and 8112, that multiplied together give a square (4112784 = 20282).

The spelling of 5078112 in words is "five million, seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 313 338 416 507 624 626 676 939 1014 1248 1252 1352 1878 2028 2504 2704 3756 4056 4069 5008 5408 7512 8112 8138 10016 12207 15024 16224 16276 24414 30048 32552 48828 52897 65104 97656 105794 130208 158691 195312 211588 317382 390624 423176 634764 846352 1269528 1692704 2539056 5078112