Search a number
-
+
28031424 = 263831759
BaseRepresentation
bin110101011101…
…1100111000000
31221202010212220
41222323213000
524134001144
62440451040
7460156161
oct152734700
957663786
1028031424
1114906473
129479a80
135a65c55
143a19768
1526da919
hex1abb9c0

28031424 has 56 divisors (see below), whose sum is σ = 75102720. Its totient is φ = 9225984.

The previous prime is 28031417. The next prime is 28031447. The reversal of 28031424 is 42413082.

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

It is a junction number, because it is equal to n+sod(n) for n = 28031394 and 28031403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15057 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 228031424 is an apocalyptic number.

28031424 is a gapful number since it is divisible by the number (24) 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 28031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

28031424 is an abundant number, since it is smaller than the sum of its proper divisors (47071296).

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

28031424 is a wasteful number, since it uses less digits than its factorization.

28031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 28031424 is about 5294.4710783987. The cubic root of 28031424 is about 303.7724520653.

The spelling of 28031424 in words is "twenty-eight million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1759 1992 2656 3518 3984 5277 5312 7036 7968 10554 14072 15936 21108 28144 42216 56288 84432 112576 145997 168864 291994 337728 437991 583988 875982 1167976 1751964 2335952 3503928 4671904 7007856 9343808 14015712 28031424