Search a number
-
+
2404728 = 23351237
BaseRepresentation
bin1001001011000101111000
311112011200000
421023011320
51103422403
6123313000
726303604
oct11130570
94464600
102404728
1113a2787
1297b760
13662721
14468504
153277a3
hex24b178

2404728 has 48 divisors (see below), whose sum is σ = 6759480. Its totient is φ = 800928.

The previous prime is 2404723. The next prime is 2404733. The reversal of 2404728 is 8274042.

2404728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2404723) and next prime (2404733).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326 + ... + 2562.

22404728 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 2404728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379740).

2404728 is an abundant number, since it is smaller than the sum of its proper divisors (4354752).

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

2404728 is a wasteful number, since it uses less digits than its factorization.

2404728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2404728 is about 1550.7185431277. The cubic root of 2404728 is about 133.9744512069.

The spelling of 2404728 in words is "two million, four hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1237 1944 2474 3711 4948 7422 9896 11133 14844 22266 29688 33399 44532 66798 89064 100197 133596 200394 267192 300591 400788 601182 801576 1202364 2404728