Search a number
-
+
897632352 = 253219414001
BaseRepresentation
bin110101100000001…
…100100001100000
32022120001110002200
4311200030201200
53314243213402
6225023213200
731146514641
oct6540144140
92276043080
10897632352
11420765521
12210747200
13113c77b06
14873016c8
1553c1021c
hex3580c860

897632352 has 144 divisors (see below), whose sum is σ = 2753215920. Its totient is φ = 276480000.

The previous prime is 897632347. The next prime is 897632369. The reversal of 897632352 is 253236798.

897632352 is a `hidden beast` number, since 8 + 9 + 7 + 632 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 897632298 and 897632307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222352 + ... + 226352.

It is an arithmetic number, because the mean of its divisors is an integer number (19119555).

Almost surely, 2897632352 is an apocalyptic number.

897632352 is a gapful number since it is divisible by the number (82) 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 897632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376607960).

897632352 is an abundant number, since it is smaller than the sum of its proper divisors (1855583568).

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

897632352 is a wasteful number, since it uses less digits than its factorization.

897632352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4066 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 897632352 is about 29960.5132132278. The cubic root of 897632352 is about 964.6419970129.

It can be divided in two parts, 8976 and 32352, that added together give a triangular number (41328 = T287).

The spelling of 897632352 in words is "eight hundred ninety-seven million, six hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1312 1368 1476 1558 1824 1968 2337 2736 2952 3116 3936 4001 4674 5472 5904 6232 7011 8002 9348 11808 12003 12464 14022 16004 18696 24006 24928 28044 32008 36009 37392 48012 56088 64016 72018 74784 76019 96024 112176 128032 144036 152038 164041 192048 224352 228057 288072 304076 328082 384096 456114 492123 576144 608152 656164 684171 912228 984246 1152288 1216304 1312328 1368342 1476369 1824456 1968492 2432608 2624656 2736684 2952738 3116779 3648912 3936984 5249312 5473368 5905476 6233558 7297824 7873968 9350337 10946736 11810952 12467116 15747936 18700674 21893472 23621904 24934232 28051011 37401348 47243808 49868464 56102022 74802696 99736928 112204044 149605392 224408088 299210784 448816176 897632352