Search a number
-
+
4905332352 = 27336192293
BaseRepresentation
bin1001001000110000…
…10110111010000000
3110122212020200222000
410210120112322000
540021231113402
62130430144000
7232362431334
oct44430267200
913585220860
104905332352
112097a28888
12b4a952000
1360236422b
1434769b7c4
151da9a6c1c
hex124616e80

4905332352 has 128 divisors (see below), whose sum is σ = 14507256000. Its totient is φ = 1631757312.

The previous prime is 4905332351. The next prime is 4905332357. The reversal of 4905332352 is 2532335094.

4905332352 is a `hidden beast` number, since 4 + 90 + 533 + 2 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4905332351) 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, 2138118 + ... + 2140410.

Almost surely, 24905332352 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 4905332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253628000).

4905332352 is an abundant number, since it is smaller than the sum of its proper divisors (9601923648).

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

4905332352 is a wasteful number, since it uses less digits than its factorization.

4905332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 4905332352 is about 70038.0778719690. The cubic root of 4905332352 is about 1699.1151510506.

The spelling of 4905332352 in words is "four billion, nine hundred five million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 619 864 1152 1238 1728 1857 2293 2476 3456 3714 4586 4952 5571 6879 7428 9172 9904 11142 13758 14856 16713 18344 19808 20637 22284 27516 29712 33426 36688 39616 41274 44568 55032 59424 61911 66852 73376 79232 82548 89136 110064 118848 123822 133704 146752 165096 178272 220128 237696 247644 267408 293504 330192 356544 440256 495288 534816 660384 713088 880512 990576 1069632 1320768 1419367 1981152 2139264 2641536 2838734 3962304 4258101 5677468 7924608 8516202 11354936 12774303 17032404 22709872 25548606 34064808 38322909 45419744 51097212 68129616 76645818 90839488 102194424 136259232 153291636 181678976 204388848 272518464 306583272 408777696 545036928 613166544 817555392 1226333088 1635110784 2452666176 4905332352