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1352453000 = 23532814813
BaseRepresentation
bin101000010011100…
…1100101110001000
310111020212201201212
41100213030232020
510232211444000
6342111432252
745341442443
oct12047145610
93436781655
101352453000
11634473a58
12318b25688
13187271a62
14cb89665a
157db01c35
hex509ccb88

1352453000 has 64 divisors (see below), whose sum is σ = 3176662320. Its totient is φ = 538944000.

The previous prime is 1352452967. The next prime is 1352453029. The reversal of 1352453000 is 3542531.

It can be written as a sum of positive squares in 8 ways, for example, as 205005124 + 1147447876 = 14318^2 + 33874^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278594 + ... + 283406.

Almost surely, 21352453000 is an apocalyptic number.

1352453000 is a gapful number since it is divisible by the number (10) 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 1352453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588331160).

1352453000 is an abundant number, since it is smaller than the sum of its proper divisors (1824209320).

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

1352453000 is a wasteful number, since it uses less digits than its factorization.

1352453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1352453000 is about 36775.7120937175. The cubic root of 1352453000 is about 1105.8784467259.

Adding to 1352453000 its reverse (3542531), we get a palindrome (1355995531).

The spelling of 1352453000 in words is "one billion, three hundred fifty-two million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 281 500 562 1000 1124 1405 2248 2810 4813 5620 7025 9626 11240 14050 19252 24065 28100 35125 38504 48130 56200 70250 96260 120325 140500 192520 240650 281000 481300 601625 962600 1203250 1352453 2406500 2704906 4813000 5409812 6762265 10819624 13524530 27049060 33811325 54098120 67622650 135245300 169056625 270490600 338113250 676226500 1352453000