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5378784 = 253431303
BaseRepresentation
bin10100100001001011100000
3101010021022020
4110201023200
52334110114
6311141440
763501405
oct24411340
911107266
105378784
113044184
121974880
131164318
14a002ac
15713aa9
hex5212e0

5378784 has 48 divisors (see below), whose sum is σ = 14458752. Its totient is φ = 1749888.

The previous prime is 5378731. The next prime is 5378819. The reversal of 5378784 is 4878735.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3477 + ... + 4779.

It is an arithmetic number, because the mean of its divisors is an integer number (301224).

Almost surely, 25378784 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 5378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229376).

5378784 is an abundant number, since it is smaller than the sum of its proper divisors (9079968).

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

5378784 is a wasteful number, since it uses less digits than its factorization.

5378784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1351 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 5378784 is about 2319.2205587223. The cubic root of 5378784 is about 175.2109999140.

It can be divided in two parts, 537878 and 4, that multiplied together give a palindrome (2151512).

The spelling of 5378784 in words is "five million, three hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1303 1376 2064 2606 3909 4128 5212 7818 10424 15636 20848 31272 41696 56029 62544 112058 125088 168087 224116 336174 448232 672348 896464 1344696 1792928 2689392 5378784