Search a number
-
+
4739072 = 2121389
BaseRepresentation
bin10010000101000000000000
322220202210012
4102011000000
52203122242
6245324052
755165352
oct22050000
98822705
104739072
112747598
121706628
13c9c0b0
148b50d2
15639282
hex485000

4739072 has 52 divisors (see below), whose sum is σ = 10320660. Its totient is φ = 2162688.

The previous prime is 4739047. The next prime is 4739089. The reversal of 4739072 is 2709374.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 3936256 = 896^2 + 1984^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53204 + ... + 53292.

Almost surely, 24739072 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 4739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160330).

4739072 is an abundant number, since it is smaller than the sum of its proper divisors (5581588).

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

4739072 is an equidigital number, since it uses as much as digits as its factorization.

4739072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 4739072 is about 2176.9409730170. The cubic root of 4739072 is about 167.9697602413.

The spelling of 4739072 in words is "four million, seven hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 512 712 832 1024 1157 1424 1664 2048 2314 2848 3328 4096 4628 5696 6656 9256 11392 13312 18512 22784 26624 37024 45568 53248 74048 91136 148096 182272 296192 364544 592384 1184768 2369536 4739072