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4935348384 = 253241213319
BaseRepresentation
bin1001001100010101…
…10111000010100000
3110201221201200012220
410212022313002200
540101422122014
62133421351040
7233205524541
oct44612670240
913657650186
104935348384
11210296a31a
12b58a08480
136086435b5
1434b6724c8
151dd4356a9
hex1262b70a0

4935348384 has 48 divisors (see below), whose sum is σ = 13009106880. Its totient is φ = 1638282240.

The previous prime is 4935348377. The next prime is 4935348389. The reversal of 4935348384 is 4838435394.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×49353483842 = 48715327342902822912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4935348389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83524 + ... + 129795.

It is an arithmetic number, because the mean of its divisors is an integer number (271023060).

Almost surely, 24935348384 is an apocalyptic number.

It is an amenable number.

4935348384 is an abundant number, since it is smaller than the sum of its proper divisors (8073758496).

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

4935348384 is a wasteful number, since it uses less digits than its factorization.

4935348384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213573 (or 213565 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The square root of 4935348384 is about 70252.0347320987. The cubic root of 4935348384 is about 1702.5737696736.

The spelling of 4935348384 in words is "four billion, nine hundred thirty-five million, three hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 23136 213319 426638 639957 853276 1279914 1706552 2559828 3413104 5119656 6826208 10239312 20478624 51409879 102819758 154229637 205639516 308459274 411279032 616918548 822558064 1233837096 1645116128 2467674192 4935348384