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1352421252 = 22337132331193
BaseRepresentation
bin101000010011100…
…0100111110000100
310111020211010012000
41100213010332010
510232204440002
6342111025300
745341251050
oct12047047604
93436733160
101352421252
11634452116
12318b0b230
13187260480
14cb888c60
157dae761c
hex509c4f84

1352421252 has 384 divisors, whose sum is σ = 4672389120. Its totient is φ = 328458240.

The previous prime is 1352421233. The next prime is 1352421263. The reversal of 1352421252 is 2521242531.

1352421252 is a `hidden beast` number, since 13 + 524 + 2 + 125 + 2 = 666.

It is a super-2 number, since 2×13524212522 = 3658086485722495008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 7007268 + ... + 7007460.

It is an arithmetic number, because the mean of its divisors is an integer number (12167680).

Almost surely, 21352421252 is an apocalyptic number.

1352421252 is a gapful number since it is divisible by the number (12) 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 1352421252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336194560).

1352421252 is an abundant number, since it is smaller than the sum of its proper divisors (3319967868).

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

1352421252 is a wasteful number, since it uses less digits than its factorization.

1352421252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 1352421252 is about 36775.2804476050. The cubic root of 1352421252 is about 1105.8697933867.

Adding to 1352421252 its reverse (2521242531), we get a palindrome (3873663783).

The spelling of 1352421252 in words is "one billion, three hundred fifty-two million, four hundred twenty-one thousand, two hundred fifty-two".