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4941400248 = 2333293125447
BaseRepresentation
bin1001001101000011…
…11100100010111000
3110202101010010211000
410212201330202320
540104444301443
62134155205000
7233311131501
oct44641744270
913671103730
104941400248
112106323164
12b5aa46760
13609982095
1434c3a9ba8
151ddc2d8d3
hex12687c8b8

4941400248 has 128 divisors (see below), whose sum is σ = 14658048000. Its totient is φ = 1538974080.

The previous prime is 4941400213. The next prime is 4941400267. The reversal of 4941400248 is 8420041494.

4941400248 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 400 + 248 = 666.

It is a super-3 number, since 3×49414002483 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181461 + ... + 206907.

It is an arithmetic number, because the mean of its divisors is an integer number (114516000).

Almost surely, 24941400248 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 4941400248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329024000).

4941400248 is an abundant number, since it is smaller than the sum of its proper divisors (9716647752).

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

4941400248 is a wasteful number, since it uses less digits than its factorization.

4941400248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25522 (or 25512 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4941400248 is about 70295.0940535682. The cubic root of 4941400248 is about 1703.2694001464.

The spelling of 4941400248 in words is "four billion, nine hundred forty-one million, four hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 216 232 248 261 279 348 372 522 558 696 744 783 837 899 1044 1116 1566 1674 1798 2088 2232 2697 3132 3348 3596 5394 6264 6696 7192 8091 10788 16182 21576 24273 25447 32364 48546 50894 64728 76341 97092 101788 152682 194184 203576 229023 305364 458046 610728 687069 737963 788857 916092 1374138 1475926 1577714 1832184 2213889 2366571 2748276 2951852 3155428 4427778 4733142 5496552 5903704 6310856 6641667 7099713 8855556 9466284 13283334 14199426 17711112 18932568 19925001 21299139 22876853 26566668 28398852 39850002 42598278 45753706 53133336 56797704 68630559 79700004 85196556 91507412 137261118 159400008 170393112 183014824 205891677 274522236 411783354 549044472 617675031 823566708 1235350062 1647133416 2470700124 4941400248