Search a number
-
+
897626656 = 251753163191
BaseRepresentation
bin110101100000001…
…011001000100000
32022120001011021201
4311200023020200
53314243023111
6225023130544
731146462223
oct6540131040
92276034251
10897626656
11420761213
12210743a54
13113c75344
14872dd5ba
1553c0d6c1
hex3580b220

897626656 has 96 divisors (see below), whose sum is σ = 1928199168. Its totient is φ = 409743360.

The previous prime is 897626641. The next prime is 897626689. The reversal of 897626656 is 656626798.

It is a happy number.

It is a super-2 number, since 2×8976266562 = 1611467227123484672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 897626597 and 897626606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4699521 + ... + 4699711.

It is an arithmetic number, because the mean of its divisors is an integer number (20085408).

Almost surely, 2897626656 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 897626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964099584).

897626656 is an abundant number, since it is smaller than the sum of its proper divisors (1030572512).

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

897626656 is a wasteful number, since it uses less digits than its factorization.

897626656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The square root of 897626656 is about 29960.4181546253. The cubic root of 897626656 is about 964.6399566035.

The spelling of 897626656 in words is "eight hundred ninety-seven million, six hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 163 191 212 272 326 382 424 544 652 764 848 901 1304 1528 1696 1802 2608 2771 3056 3247 3604 5216 5542 6112 6494 7208 8639 10123 11084 12988 14416 17278 20246 22168 25976 28832 31133 34556 40492 44336 51952 62266 69112 80984 88672 103904 124532 138224 146863 161968 172091 249064 276448 293726 323936 344182 498128 529261 587452 688364 996256 1058522 1174904 1376728 1650049 2117044 2349808 2753456 3300098 4234088 4699616 5506912 6600196 8468176 13200392 16936352 26400784 28050833 52801568 56101666 112203332 224406664 448813328 897626656