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241973248 = 2111123467
BaseRepresentation
bin11100110110000…
…11100000000000
3121212022111220011
432123003200000
5443421120443
640002154304
75665511236
oct1633034000
9555274804
10241973248
111146510a0
1269052994
133b19204a
14241ca956
151639ab9d
hexe6c3800

241973248 has 96 divisors (see below), whose sum is σ = 551940480. Its totient is φ = 104980480.

The previous prime is 241973243. The next prime is 241973261. The reversal of 241973248 is 842379142.

It is a self number, because there is not a number n which added to its sum of digits gives 241973248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241973243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517911 + ... + 518377.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2241973248 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 241973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275970240).

241973248 is an abundant number, since it is smaller than the sum of its proper divisors (309967232).

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

241973248 is a wasteful number, since it uses less digits than its factorization.

241973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 503 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 241973248 is about 15555.4893204939. The cubic root of 241973248 is about 623.1450047953.

The spelling of 241973248 in words is "two hundred forty-one million, nine hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 467 506 512 704 736 934 1012 1024 1408 1472 1868 2024 2048 2816 2944 3736 4048 5137 5632 5888 7472 8096 10274 10741 11264 11776 14944 16192 20548 21482 22528 23552 29888 32384 41096 42964 47104 59776 64768 82192 85928 118151 119552 129536 164384 171856 236302 239104 259072 328768 343712 472604 478208 518144 657536 687424 945208 956416 1315072 1374848 1890416 2630144 2749696 3780832 5260288 5499392 7561664 10520576 10998784 15123328 21997568 30246656 60493312 120986624 241973248