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1352055432 = 233721326803
BaseRepresentation
bin101000010010110…
…1011101010001000
310111020010112101010
41100211223222020
510232111233212
6342055123520
745335165400
oct12045535210
93436115333
101352055432
11634222292
123189735a0
13187162b00
14cb7d1800
157da7403c
hex5096ba88

1352055432 has 144 divisors (see below), whose sum is σ = 4258351440. Its totient is φ = 356533632.

The previous prime is 1352055379. The next prime is 1352055433. The reversal of 1352055432 is 2345502531.

1352055432 is a modest number, since divided by 55432 gives 13520 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1352055432.

It is not an unprimeable number, because it can be changed into a prime (1352055433) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 195343 + ... + 202145.

It is an arithmetic number, because the mean of its divisors is an integer number (29571885).

Almost surely, 21352055432 is an apocalyptic number.

1352055432 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 1352055432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129175720).

1352055432 is an abundant number, since it is smaller than the sum of its proper divisors (2906296008).

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

1352055432 is a wasteful number, since it uses less digits than its factorization.

1352055432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1352055432 is about 36770.3063898032. The cubic root of 1352055432 is about 1105.7700745137.

Adding to 1352055432 its reverse (2345502531), we get a palindrome (3697557963).

The spelling of 1352055432 in words is "one billion, three hundred fifty-two million, fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1183 1274 1352 1911 2028 2184 2366 2548 3549 3822 4056 4732 5096 6803 7098 7644 8281 9464 13606 14196 15288 16562 20409 24843 27212 28392 33124 40818 47621 49686 54424 66248 81636 88439 95242 99372 142863 163272 176878 190484 198744 265317 285726 333347 353756 380968 530634 571452 619073 666694 707512 1000041 1061268 1142904 1149707 1238146 1333388 1857219 2000082 2122536 2299414 2476292 2666776 3449121 3714438 4000164 4333511 4598828 4952584 6898242 7428876 8000328 8047949 8667022 9197656 13000533 13796484 14857752 16095898 17334044 24143847 26001066 27592968 32191796 34668088 48287694 52002132 56335643 64383592 96575388 104004264 112671286 169006929 193150776 225342572 338013858 450685144 676027716 1352055432