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1457152 = 2101423
BaseRepresentation
bin101100011110000000000
32202000211121
411203300000
5333112102
651122024
715246154
oct5436000
92660747
101457152
11905864
125a3314
133c0328
1429d064
151dbb37
hex163c00

1457152 has 22 divisors (see below), whose sum is σ = 2914928. Its totient is φ = 728064.

The previous prime is 1457149. The next prime is 1457161. The reversal of 1457152 is 2517541.

It is a super-2 number, since 2×14571522 = 4246583902208, which contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 313 + ... + 1735.

21457152 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 1457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457464).

1457152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1457152 is an equidigital number, since it uses as much as digits as its factorization.

1457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1425 counting only the distinct ones).

The product of its digits is 1400, while the sum is 25.

The square root of 1457152 is about 1207.1255112870. The cubic root of 1457152 is about 113.3709064195.

The spelling of 1457152 in words is "one million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1423 2846 5692 11384 22768 45536 91072 182144 364288 728576 1457152