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4742417484 = 223476173389
BaseRepresentation
bin1000110101010101…
…11000110001001100
3110020111200202210000
410122222320301030
534203024324414
62102330244300
7225343612020
oct43252706114
913214622700
104742417484
112013a754a2
12b04286690
135a7692abc
1432dbb0380
151cb525b09
hex11aab8c4c

4742417484 has 120 divisors (see below), whose sum is σ = 14195855520. Its totient is φ = 1352381184.

The previous prime is 4742417483. The next prime is 4742417509. The reversal of 4742417484 is 4847142474.

4742417484 is a `hidden beast` number, since 474 + 2 + 4 + 174 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4742417483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1397662 + ... + 1401050.

It is an arithmetic number, because the mean of its divisors is an integer number (118298796).

Almost surely, 24742417484 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 4742417484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097927760).

4742417484 is an abundant number, since it is smaller than the sum of its proper divisors (9453438036).

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

4742417484 is a wasteful number, since it uses less digits than its factorization.

4742417484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4018 counting only the distinct ones).

The product of its digits is 802816, while the sum is 45.

The square root of 4742417484 is about 68865.2124370498. The cubic root of 4742417484 is about 1680.0927627351.

The spelling of 4742417484 in words is "four billion, seven hundred forty-two million, four hundred seventeen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 617 756 1134 1234 1851 2268 2468 3389 3702 4319 5553 6778 7404 8638 10167 11106 12957 13556 16659 17276 20334 22212 23723 25914 30501 33318 38871 40668 47446 49977 51828 61002 66636 71169 77742 91503 94892 99954 116613 122004 142338 155484 183006 199908 213507 233226 274509 284676 349839 366012 427014 466452 549018 640521 699678 854028 1098036 1281042 1399356 1921563 2091013 2562084 3843126 4182026 6273039 7686252 8364052 12546078 14637091 18819117 25092156 29274182 37638234 43911273 56457351 58548364 75276468 87822546 112914702 131733819 169372053 175645092 225829404 263467638 338744106 395201457 526935276 677488212 790402914 1185604371 1580805828 2371208742 4742417484