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1348077852 = 2232117147947
BaseRepresentation
bin101000001011010…
…0000100100011100
310110221122110011100
41100112200210130
510230101442402
6341433553100
745256321062
oct12026404434
93427573140
101348077852
11631a55930
12317575790
1318639c504
14cb078032
157d53a71c
hex505a091c

1348077852 has 72 divisors (see below), whose sum is σ = 3769863552. Its totient is φ = 402746400.

The previous prime is 1348077851. The next prime is 1348077853. The reversal of 1348077852 is 2587708431.

It is an interprime number because it is at equal distance from previous prime (1348077851) and next prime (1348077853).

It is a junction number, because it is equal to n+sod(n) for n = 1348077798 and 1348077807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348077851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4143 + ... + 52089.

It is an arithmetic number, because the mean of its divisors is an integer number (52359216).

Almost surely, 21348077852 is an apocalyptic number.

1348077852 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 1348077852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884931776).

1348077852 is an abundant number, since it is smaller than the sum of its proper divisors (2421785700).

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

1348077852 is a wasteful number, since it uses less digits than its factorization.

1348077852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48039 (or 48034 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1348077852 is about 36716.1797032317. The cubic root of 1348077852 is about 1104.6846631304.

The spelling of 1348077852 in words is "one billion, three hundred forty-eight million, seventy-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 7029 9372 14058 28116 47947 95894 143841 191788 287682 431523 527417 575364 863046 1054834 1582251 1726092 2109668 3164502 3404237 4746753 6329004 6808474 9493506 10212711 13616948 18987012 20425422 30638133 37446607 40850844 61276266 74893214 112339821 122552532 149786428 224679642 337019463 449359284 674038926 1348077852