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856970352 = 243278310243
BaseRepresentation
bin110011000101000…
…101010001110000
32012201112121022200
4303011011101300
53223341022402
6221011503200
730144061560
oct6305052160
92181477280
10856970352
113aa812567
121babb7b00
1310870bb64
1481b58da0
155037c21c
hex33145470

856970352 has 120 divisors (see below), whose sum is σ = 2774239104. Its totient is φ = 241875072.

The previous prime is 856970351. The next prime is 856970369. The reversal of 856970352 is 253079658.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 856970298 and 856970307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856970351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78543 + ... + 88785.

Almost surely, 2856970352 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 856970352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387119552).

856970352 is an abundant number, since it is smaller than the sum of its proper divisors (1917268752).

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

856970352 is a wasteful number, since it uses less digits than its factorization.

856970352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 856970352 is about 29274.0559540355. The cubic root of 856970352 is about 949.8505220033.

The spelling of 856970352 in words is "eight hundred fifty-six million, nine hundred seventy thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2988 3486 3984 4648 5229 5976 6972 9296 10243 10458 11952 13944 20486 20916 27888 30729 40972 41832 61458 71701 81944 83664 92187 122916 143402 163888 184374 215103 245832 286804 368748 430206 491664 573608 645309 737496 850169 860412 1147216 1290618 1474992 1700338 1720824 2550507 2581236 3400676 3441648 5101014 5162472 5951183 6801352 7651521 10202028 10324944 11902366 13602704 15303042 17853549 20404056 23804732 30606084 35707098 40808112 47609464 53560647 61212168 71414196 95218928 107121294 122424336 142828392 214242588 285656784 428485176 856970352