Search a number
-
+
6397152 = 253371801
BaseRepresentation
bin11000011001110011100000
3110001000020120
4120121303200
53114202102
6345040240
7105242406
oct30316340
913030216
106397152
11367a303
122186080
13142c9c8
14bc7476
158656bc
hex619ce0

6397152 has 48 divisors (see below), whose sum is σ = 17255952. Its totient is φ = 2073600.

The previous prime is 6397147. The next prime is 6397211. The reversal of 6397152 is 2517936.

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

It is a super-2 number, since 2×63971522 = 81847107422208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

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, 2652 + ... + 4452.

It is an arithmetic number, because the mean of its divisors is an integer number (359499).

Almost surely, 26397152 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 6397152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627976).

6397152 is an abundant number, since it is smaller than the sum of its proper divisors (10858800).

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

6397152 is a wasteful number, since it uses less digits than its factorization.

6397152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1843 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 6397152 is about 2529.2591800763. The cubic root of 6397152 is about 185.6360091646.

The spelling of 6397152 in words is "six million, three hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 1801 3552 3602 5403 7204 10806 14408 21612 28816 43224 57632 66637 86448 133274 172896 199911 266548 399822 533096 799644 1066192 1599288 2132384 3198576 6397152