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4242361056 = 253157397709
BaseRepresentation
bin1111110011011101…
…0100101011100000
3101221122202021022120
43330313110223200
532142021023211
61540544304240
7210062321403
oct37467245340
911848667276
104242361056
11188777a71a
129a4912080
13527bbb11b
142c3601d3a
1519c69ad06
hexfcdd4ae0

4242361056 has 96 divisors (see below), whose sum is σ = 11251205280. Its totient is φ = 1399597056.

The previous prime is 4242361051. The next prime is 4242361069. The reversal of 4242361056 is 6501632424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242361051) 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, 5983230 + ... + 5983938.

It is an arithmetic number, because the mean of its divisors is an integer number (117200055).

Almost surely, 24242361056 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 4242361056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625602640).

4242361056 is an abundant number, since it is smaller than the sum of its proper divisors (7008844224).

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

4242361056 is a wasteful number, since it uses less digits than its factorization.

4242361056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4242361056 is about 65133.4096758338. The cubic root of 4242361056 is about 1618.8348396653.

The spelling of 4242361056 in words is "four billion, two hundred forty-two million, three hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 397 471 628 709 794 942 1191 1256 1418 1588 1884 2127 2382 2512 2836 3176 3768 4254 4764 5024 5672 6352 7536 8508 9528 11344 12704 15072 17016 19056 22688 34032 38112 62329 68064 111313 124658 186987 222626 249316 281473 333939 373974 445252 498632 562946 667878 747948 844419 890504 997264 1125892 1335756 1495896 1688838 1781008 1994528 2251784 2671512 2991792 3377676 3562016 4503568 5343024 5983584 6755352 9007136 10686048 13510704 27021408 44191261 88382522 132573783 176765044 265147566 353530088 530295132 707060176 1060590264 1414120352 2121180528 4242361056