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5738752 = 2829773
BaseRepresentation
bin10101111001000100000000
3101210120002101
4111321010000
52432120002
6323000144
766531025
oct25710400
911716071
105738752
11326a678
121b09054
13125c116
14a9554c
15785587
hex579100

5738752 has 36 divisors (see below), whose sum is σ = 11865420. Its totient is φ = 2766848.

The previous prime is 5738743. The next prime is 5738767. The reversal of 5738752 is 2578375.

5738752 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 4260096 = 1216^2 + 2064^2 .

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, 7038 + ... + 7810.

It is an arithmetic number, because the mean of its divisors is an integer number (329595).

Almost surely, 25738752 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 5738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932710).

5738752 is an abundant number, since it is smaller than the sum of its proper divisors (6126668).

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

5738752 is an equidigital number, since it uses as much as digits as its factorization.

5738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 5738752 is about 2395.5692434159. The cubic root of 5738752 is about 179.0354995497.

It can be divided in two parts, 57 and 38752, that added together give a square (38809 = 1972).

The spelling of 5738752 in words is "five million, seven hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 773 928 1546 1856 3092 3712 6184 7424 12368 22417 24736 44834 49472 89668 98944 179336 197888 358672 717344 1434688 2869376 5738752