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4742428704 = 253134618243
BaseRepresentation
bin1000110101010101…
…11011100000100000
3110020111201100011120
410122222323200200
534203030204304
62102330412240
7225343656516
oct43252734040
913214640146
104742428704
112013a82972
12b04291080
135a7697c40
1432dbb44b6
151cb5290d9
hex11aabb820

4742428704 has 96 divisors (see below), whose sum is σ = 13437192384. Its totient is φ = 1455866880.

The previous prime is 4742428703. The next prime is 4742428739. The reversal of 4742428704 is 4078242474.

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

It is not an unprimeable number, because it can be changed into a prime (4742428703) 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, 571207 + ... + 579449.

It is an arithmetic number, because the mean of its divisors is an integer number (139970754).

Almost surely, 24742428704 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 4742428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718596192).

4742428704 is an abundant number, since it is smaller than the sum of its proper divisors (8694763680).

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

4742428704 is a wasteful number, since it uses less digits than its factorization.

4742428704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 42.

The square root of 4742428704 is about 68865.2939004837. The cubic root of 4742428704 is about 1680.0940877011.

The spelling of 4742428704 in words is "four billion, seven hundred forty-two million, four hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 461 624 922 1248 1383 1844 2766 3688 5532 5993 7376 8243 11064 11986 14752 16486 17979 22128 23972 24729 32972 35958 44256 47944 49458 65944 71916 95888 98916 107159 131888 143832 191776 197832 214318 263776 287664 321477 395664 428636 575328 642954 791328 857272 1285908 1714544 2571816 3429088 3800023 5143632 7600046 10287264 11400069 15200092 22800138 30400184 45600276 49400299 60800368 91200552 98800598 121600736 148200897 182401104 197601196 296401794 364802208 395202392 592803588 790404784 1185607176 1580809568 2371214352 4742428704