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5378464 = 257131847
BaseRepresentation
bin10100100001000110100000
3101010020212101
4110201012200
52334102324
6311140144
763500440
oct24410640
911106771
105378464
113043a13
121974654
131164130
14a00120
15713944
hex5211a0

5378464 has 48 divisors (see below), whose sum is σ = 13039488. Its totient is φ = 2126592.

The previous prime is 5378447. The next prime is 5378473. The reversal of 5378464 is 4648735.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989 + ... + 3835.

It is an arithmetic number, because the mean of its divisors is an integer number (271656).

Almost surely, 25378464 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 5378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519744).

5378464 is an abundant number, since it is smaller than the sum of its proper divisors (7661024).

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

5378464 is a wasteful number, since it uses less digits than its factorization.

5378464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1869 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 5378464 is about 2319.1515690010. The cubic root of 5378464 is about 175.2075252357.

The spelling of 5378464 in words is "five million, three hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1847 2912 3694 7388 12929 14776 24011 25858 29552 48022 51716 59104 96044 103432 168077 192088 206864 336154 384176 413728 672308 768352 1344616 2689232 5378464