Search a number
-
+
3824128 = 2971197
BaseRepresentation
bin1110100101101000000000
321012021201101
432211220000
51434333003
6213544144
744335030
oct16455000
97167641
103824128
112182140
121345054
13a3b7c9
147178c0
1550811d
hex3a5a00

3824128 has 80 divisors (see below), whose sum is σ = 9624384. Its totient is φ = 1474560.

The previous prime is 3824123. The next prime is 3824137. The reversal of 3824128 is 8214283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3824096 and 3824105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39376 + ... + 39472.

Almost surely, 23824128 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 3824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812192).

3824128 is an abundant number, since it is smaller than the sum of its proper divisors (5800256).

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

3824128 is an equidigital number, since it uses as much as digits as its factorization.

3824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 3824128 is about 1955.5377776970. The cubic root of 3824128 is about 156.3786549974.

The spelling of 3824128 in words is "three million, eight hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 256 308 352 388 448 512 616 679 704 776 896 1067 1232 1358 1408 1552 1792 2134 2464 2716 2816 3104 3584 4268 4928 5432 5632 6208 7469 8536 9856 10864 12416 14938 17072 19712 21728 24832 29876 34144 39424 43456 49664 59752 68288 86912 119504 136576 173824 239008 273152 347648 478016 546304 956032 1912064 3824128