Search a number
-
+
5738904 = 23331632
BaseRepresentation
bin10101111001000110011000
3101210120022000
4111321012120
52432121104
6323001000
766531333
oct25710630
911716260
105738904
11326a7a6
121b09160
13125c202
14a9561a
15785639
hex579198

5738904 has 48 divisors (see below), whose sum is σ = 16039800. Its totient is φ = 1901232.

The previous prime is 5738903. The next prime is 5738927. The reversal of 5738904 is 4098375.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5738904 is a `hidden beast` number, since 573 + 89 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35127 + ... + 35289.

Almost surely, 25738904 is an apocalyptic number.

5738904 is a gapful number since it is divisible by the number (54) 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 5738904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019900).

5738904 is an abundant number, since it is smaller than the sum of its proper divisors (10300896).

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

5738904 is a wasteful number, since it uses less digits than its factorization.

5738904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5738904 is about 2395.6009684419. The cubic root of 5738904 is about 179.0370802160.

The spelling of 5738904 in words is "five million, seven hundred thirty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1956 2934 3912 4401 5868 8802 11736 17604 26569 35208 53138 79707 106276 159414 212552 239121 318828 478242 637656 717363 956484 1434726 1912968 2869452 5738904