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241638656 = 2871947151
BaseRepresentation
bin11100110011100…
…01110100000000
3121211200111220212
432121301310000
5443324414111
635551053252
75662615610
oct1631616400
9554614825
10241638656
11114442776
1268b11228
133b0a596c
1424140a40
151633198b
hexe671d00

241638656 has 144 divisors (see below), whose sum is σ = 596520960. Its totient is φ = 95385600.

The previous prime is 241638623. The next prime is 241638659. The reversal of 241638656 is 656836142.

Its product of digits (207360) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241638659) 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, 1600181 + ... + 1600331.

Almost surely, 2241638656 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 241638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298260480).

241638656 is an abundant number, since it is smaller than the sum of its proper divisors (354882304).

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

241638656 is a wasteful number, since it uses less digits than its factorization.

241638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 241638656 is about 15544.7308114358. The cubic root of 241638656 is about 622.8576513918.

It can be divided in two parts, 2416 and 38656, that multiplied together give a square (93392896 = 96642).

The spelling of 241638656 in words is "two hundred forty-one million, six hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 47 56 64 76 94 112 128 133 151 152 188 224 256 266 302 304 329 376 448 532 604 608 658 752 893 896 1057 1064 1208 1216 1316 1504 1786 1792 2114 2128 2416 2432 2632 2869 3008 3572 4228 4256 4832 4864 5264 5738 6016 6251 7097 7144 8456 8512 9664 10528 11476 12032 12502 14194 14288 16912 17024 19328 20083 21056 22952 25004 28388 28576 33824 34048 38656 40166 42112 45904 49679 50008 56776 57152 67648 80332 84224 91808 99358 100016 113552 114304 134843 135296 160664 183616 198716 200032 227104 228608 269686 270592 321328 367232 397432 400064 454208 539372 642656 734464 794864 800128 908416 943901 1078744 1285312 1589728 1600256 1816832 1887802 2157488 2570624 3179456 3775604 4314976 5141248 6358912 7551208 8629952 12717824 15102416 17259904 30204832 34519808 60409664 120819328 241638656