Search a number
-
+
5228542816 = 257193733203
BaseRepresentation
bin1001101111010010…
…10011101101100000
3111111101102111100221
410313221103231200
541202001332231
62222453452424
7243365611030
oct46751235540
914441374327
105228542816
112243415672
12101b041114
136542ca823
143785938c0
1520904cd11
hex137a53b60

5228542816 has 96 divisors (see below), whose sum is σ = 12718460160. Its totient is φ = 2065430016.

The previous prime is 5228542807. The next prime is 5228542841. The reversal of 5228542816 is 6182458225.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140871 + ... + 174073.

It is an arithmetic number, because the mean of its divisors is an integer number (132483960).

Almost surely, 25228542816 is an apocalyptic number.

5228542816 is a gapful number since it is divisible by the number (56) 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 5228542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359230080).

5228542816 is an abundant number, since it is smaller than the sum of its proper divisors (7489917344).

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

5228542816 is a wasteful number, since it uses less digits than its factorization.

5228542816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33276 (or 33268 counting only the distinct ones).

The product of its digits is 307200, while the sum is 43.

The square root of 5228542816 is about 72308.6634920049. The cubic root of 5228542816 is about 1735.6422879239.

The spelling of 5228542816 in words is "five billion, two hundred twenty-eight million, five hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 74 76 112 133 148 152 224 259 266 296 304 518 532 592 608 703 1036 1064 1184 1406 2072 2128 2812 4144 4256 4921 5624 8288 9842 11248 19684 22496 33203 39368 66406 78736 132812 157472 232421 265624 464842 531248 630857 929684 1062496 1228511 1261714 1859368 2457022 2523428 3718736 4415999 4914044 5046856 7437472 8599577 8831998 9828088 10093712 17199154 17663996 19656176 20187424 23341709 34398308 35327992 39312352 46683418 68796616 70655984 93366836 137593232 141311968 163391963 186733672 275186464 326783926 373467344 653567852 746934688 1307135704 2614271408 5228542816