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857079552 = 28371311217
BaseRepresentation
bin110011000101011…
…111111100000000
32012201202011010010
4303011133330000
53223403021202
6221014104520
730145025130
oct6305377400
92181664103
10857079552
113aa88760a
121bb04b140
13108749784
1481b86ac0
155039e76c
hex3315ff00

857079552 has 144 divisors (see below), whose sum is σ = 2629009152. Its totient is φ = 242810880.

The previous prime is 857079551. The next prime is 857079563. The reversal of 857079552 is 255970758.

857079552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857079551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703648 + ... + 704864.

It is an arithmetic number, because the mean of its divisors is an integer number (18257008).

Almost surely, 2857079552 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 857079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314504576).

857079552 is an abundant number, since it is smaller than the sum of its proper divisors (1771929600).

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

857079552 is a wasteful number, since it uses less digits than its factorization.

857079552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The square root of 857079552 is about 29275.9210273563. The cubic root of 857079552 is about 949.8908653949.

It can be divided in two parts, 85707 and 9552, that added together give a palindrome (95259).

The spelling of 857079552 in words is "eight hundred fifty-seven million, seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 256 262 336 384 393 448 524 672 768 786 896 917 1048 1217 1344 1572 1792 1834 2096 2434 2688 2751 3144 3651 3668 4192 4868 5376 5502 6288 7302 7336 8384 8519 9736 11004 12576 14604 14672 16768 17038 19472 22008 25152 25557 29208 29344 33536 34076 38944 44016 50304 51114 58416 58688 68152 77888 88032 100608 102228 116832 117376 136304 155776 159427 176064 204456 233664 234752 272608 311552 318854 352128 408912 467328 478281 545216 637708 704256 817824 934656 956562 1090432 1115989 1275416 1635648 1913124 2180864 2231978 2550832 3271296 3347967 3826248 4463956 5101664 6542592 6695934 7652496 8927912 10203328 13391868 15304992 17855824 20406656 26783736 30609984 35711648 40813312 53567472 61219968 71423296 107134944 122439936 142846592 214269888 285693184 428539776 857079552