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5463136 = 257293
BaseRepresentation
bin10100110101110001100000
3101021120000101
4110311301200
52344310021
6313032144
764302340
oct24656140
911246011
105463136
1130a1598
1219b5654
131193833
14a22d20
1572da91
hex535c60

5463136 has 48 divisors (see below), whose sum is σ = 12731040. Its totient is φ = 2260608.

The previous prime is 5463131. The next prime is 5463163. The reversal of 5463136 is 6313645.

5463136 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5463131) 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, 188370 + ... + 188398.

It is an arithmetic number, because the mean of its divisors is an integer number (265230).

Almost surely, 25463136 is an apocalyptic number.

5463136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5463136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365520).

5463136 is an abundant number, since it is smaller than the sum of its proper divisors (7267904).

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

5463136 is an frugal number, since it uses more digits than its factorization.

5463136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 38 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 5463136 is about 2337.3352348347. The cubic root of 5463136 is about 176.1221603688.

5463136 divided by its sum of digits (28) gives a cube (195112 = 583).

It can be divided in two parts, 54 and 63136, that added together give a triangular number (63190 = T355).

The spelling of 5463136 in words is "five million, four hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 841 928 1624 1682 3248 3364 5887 6496 6728 11774 13456 23548 24389 26912 47096 48778 94192 97556 170723 188384 195112 341446 390224 682892 780448 1365784 2731568 5463136