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4742962656 = 253412115711
BaseRepresentation
bin1000110101011001…
…11101110111100000
3110020112201110121120
410122230331313200
534203144301111
62102350052240
7225351342315
oct43254756740
913215643546
104742962656
112014308053
12b044aa080
135a7823ca3
1432dcb2d0c
151cb5d2406
hex11ab3dde0

4742962656 has 96 divisors (see below), whose sum is σ = 12816631296. Its totient is φ = 1534848000.

The previous prime is 4742962619. The next prime is 4742962657. The reversal of 4742962656 is 6562692474.

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

It is a junction number, because it is equal to n+sod(n) for n = 4742962599 and 4742962608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742962657) 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, 827641 + ... + 833351.

It is an arithmetic number, because the mean of its divisors is an integer number (133506576).

Almost surely, 24742962656 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 4742962656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408315648).

4742962656 is an abundant number, since it is smaller than the sum of its proper divisors (8073668640).

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

4742962656 is a wasteful number, since it uses less digits than its factorization.

4742962656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5968 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 4742962656 is about 68869.1705772619. The cubic root of 4742962656 is about 1680.1571394964.

The spelling of 4742962656 in words is "four billion, seven hundred forty-two million, nine hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 211 246 328 422 492 633 656 844 984 1266 1312 1688 1968 2532 3376 3936 5064 5711 6752 8651 10128 11422 17133 17302 20256 22844 25953 34266 34604 45688 51906 68532 69208 91376 103812 137064 138416 182752 207624 234151 274128 276832 415248 468302 548256 702453 830496 936604 1205021 1404906 1873208 2410042 2809812 3615063 3746416 4820084 5619624 7230126 7492832 9640168 11239248 14460252 19280336 22478496 28920504 38560672 49405861 57841008 98811722 115682016 148217583 197623444 296435166 395246888 592870332 790493776 1185740664 1580987552 2371481328 4742962656