Search a number
-
+
1349944752 = 243134350311
BaseRepresentation
bin101000001110110…
…1000010110110000
310111002011022001210
41100131220112300
510231041213002
6341542000120
745311224662
oct12035502660
93432138053
101349944752
11633010522
12318116040
131868a41a0
14cb402532
157d7a896c
hex507685b0

1349944752 has 80 divisors (see below), whose sum is σ = 3843031808. Its totient is φ = 405699840.

The previous prime is 1349944747. The next prime is 1349944769. The reversal of 1349944752 is 2574499431.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1677 + ... + 51987.

Almost surely, 21349944752 is an apocalyptic number.

1349944752 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 1349944752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921515904).

1349944752 is an abundant number, since it is smaller than the sum of its proper divisors (2493087056).

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

1349944752 is a wasteful number, since it uses less digits than its factorization.

1349944752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50378 (or 50372 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 1349944752 is about 36741.5943040037. The cubic root of 1349944752 is about 1105.1943726922.

The spelling of 1349944752 in words is "one billion, three hundred forty-nine million, nine hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 13416 26832 50311 100622 150933 201244 301866 402488 603732 654043 804976 1207464 1308086 1962129 2163373 2414928 2616172 3924258 4326746 5232344 6490119 7848516 8653492 10464688 12980238 15697032 17306984 25960476 28123849 31394064 34613968 51920952 56247698 84371547 103841904 112495396 168743094 224990792 337486188 449981584 674972376 1349944752