Search a number
-
+
5349408 = 253103541
BaseRepresentation
bin10100011010000000100000
3101001210000020
4110122000200
52332140113
6310353440
763316641
oct24320040
911053006
105349408
1130240a9
12195b880
131153b3c
149d36c8
1570a023
hex51a020

5349408 has 48 divisors (see below), whose sum is σ = 14204736. Its totient is φ = 1762560.

The previous prime is 5349401. The next prime is 5349413. The reversal of 5349408 is 8049435.

5349408 = T117 + T118 + ... + T322.

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

It is not an unprimeable number, because it can be changed into a prime (5349401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9618 + ... + 10158.

It is an arithmetic number, because the mean of its divisors is an integer number (295932).

Almost surely, 25349408 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 5349408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102368).

5349408 is an abundant number, since it is smaller than the sum of its proper divisors (8855328).

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

5349408 is a wasteful number, since it uses less digits than its factorization.

5349408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5349408 is about 2312.8787257442. The cubic root of 5349408 is about 174.8914483261.

The spelling of 5349408 in words is "five million, three hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 541 618 824 1082 1236 1623 1648 2164 2472 3246 3296 4328 4944 6492 8656 9888 12984 17312 25968 51936 55723 111446 167169 222892 334338 445784 668676 891568 1337352 1783136 2674704 5349408