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4740384 = 25311672
BaseRepresentation
bin10010000101010100100000
322220211120210
4102011110200
52203143014
6245334120
755202235
oct22052440
98824523
104740384
112748580
121707340
13c9c87c
148b578c
15639859
hex485520

4740384 has 72 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 1415040.

The previous prime is 4740383. The next prime is 4740389. The reversal of 4740384 is 4830474.

4740384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4740383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70719 + ... + 70785.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 24740384 is an apocalyptic number.

4740384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4740384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890184).

4740384 is an abundant number, since it is smaller than the sum of its proper divisors (9039984).

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

4740384 is a wasteful number, since it uses less digits than its factorization.

4740384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4740384 is about 2177.2422924424. The cubic root of 4740384 is about 167.9852594777.

The spelling of 4740384 in words is "four million, seven hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 528 536 737 804 1056 1072 1474 1608 2144 2211 2948 3216 4422 4489 5896 6432 8844 8978 11792 13467 17688 17956 23584 26934 35376 35912 49379 53868 70752 71824 98758 107736 143648 148137 197516 215472 296274 395032 430944 592548 790064 1185096 1580128 2370192 4740384