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4794827152 = 2417149193613
BaseRepresentation
bin1000111011100101…
…10100000110010000
3110101011022110022211
410131302310012100
534304433432102
62111441441504
7226551233623
oct43562640620
913334273284
104794827152
112040611675
12b19940294
135b54b2c3b
14336b33dba
151d0e297d7
hex11dcb4190

4794827152 has 80 divisors (see below), whose sum is σ = 9970009200. Its totient is φ = 2225995776.

The previous prime is 4794827131. The next prime is 4794827197. The reversal of 4794827152 is 2517284974.

It can be written as a sum of positive squares in 8 ways, for example, as 1395470736 + 3399356416 = 37356^2 + 58304^2 .

It is a super-2 number, since 2×47948271522 = 45980734835112862208, which contains 22 as substring.

Its product of digits (1128960) is a multiple of the sum of its prime factors (980).

It is a junction number, because it is equal to n+sod(n) for n = 4794827096 and 4794827105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7821598 + ... + 7822210.

It is an arithmetic number, because the mean of its divisors is an integer number (124625115).

Almost surely, 24794827152 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 4794827152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985004600).

4794827152 is an abundant number, since it is smaller than the sum of its proper divisors (5175182048).

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

4794827152 is a wasteful number, since it uses less digits than its factorization.

4794827152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

The square root of 4794827152 is about 69244.6904246095. The cubic root of 4794827152 is about 1686.2591476594.

The spelling of 4794827152 in words is "four billion, seven hundred ninety-four million, eight hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 149 193 272 298 386 596 613 772 1192 1226 1544 2384 2452 2533 3088 3281 4904 5066 6562 9808 10132 10421 13124 20264 20842 26248 28757 40528 41684 52496 57514 83368 91337 115028 118309 166736 182674 230056 236618 365348 460112 473236 488869 730696 946472 977738 1461392 1552729 1892944 1955476 2011253 3105458 3910952 4022506 6210916 7821904 8045012 12421832 16090024 17628041 24843664 32180048 35256082 70512164 141024328 282048656 299676697 599353394 1198706788 2397413576 4794827152