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5315712 = 273109127
BaseRepresentation
bin10100010001110010000000
3101000001210020
4110101302000
52330100322
6305533440
763116463
oct24216200
911001706
105315712
113000856
121944280
1311416bc
149c52da
1570005c
hex511c80

5315712 has 64 divisors (see below), whose sum is σ = 14361600. Its totient is φ = 1741824.

The previous prime is 5315707. The next prime is 5315719. The reversal of 5315712 is 2175135.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5315719) by changing a digit.

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, 41793 + ... + 41919.

It is an arithmetic number, because the mean of its divisors is an integer number (224400).

Almost surely, 25315712 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 5315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180800).

5315712 is an abundant number, since it is smaller than the sum of its proper divisors (9045888).

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

5315712 is a wasteful number, since it uses less digits than its factorization.

5315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 5315712 is about 2305.5827896651. The cubic root of 5315712 is about 174.5234599811.

The spelling of 5315712 in words is "five million, three hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 127 128 192 218 254 327 381 384 436 508 654 762 872 1016 1308 1524 1744 2032 2616 3048 3488 4064 5232 6096 6976 8128 10464 12192 13843 13952 16256 20928 24384 27686 41529 41856 48768 55372 83058 110744 166116 221488 332232 442976 664464 885952 1328928 1771904 2657856 5315712