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1355689552 = 247234312239
BaseRepresentation
bin101000011001110…
…0010111001010000
310111110222011110011
41100303202321100
510234024031202
6342305044304
745411112450
oct12063427120
93443864404
101355689552
11636284698
1231a026694
13187b35c89
14cc099d60
157e040bd7
hex50ce2e50

1355689552 has 80 divisors (see below), whose sum is σ = 3205509120. Its totient is φ = 542779776.

The previous prime is 1355689537. The next prime is 1355689553. The reversal of 1355689552 is 2559865531.

It is a super-2 number, since 2×13556895522 = 3675788322803921408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1355689496 and 1355689505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355689553) 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 15 ways as a sum of consecutive naturals, for example, 104649 + ... + 116887.

It is an arithmetic number, because the mean of its divisors is an integer number (40068864).

Almost surely, 21355689552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355689552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602754560).

1355689552 is an abundant number, since it is smaller than the sum of its proper divisors (1849819568).

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

1355689552 is a wasteful number, since it uses less digits than its factorization.

1355689552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12314 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 49.

The square root of 1355689552 is about 36819.6897325331. The cubic root of 1355689552 is about 1106.7599023075.

The spelling of 1355689552 in words is "one billion, three hundred fifty-five million, six hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 43 46 56 86 92 112 161 172 184 301 322 344 368 602 644 688 989 1204 1288 1978 2408 2576 3956 4816 6923 7912 12239 13846 15824 24478 27692 48956 55384 85673 97912 110768 171346 195824 281497 342692 526277 562994 685384 1052554 1125988 1370768 1970479 2105108 2251976 3683939 3940958 4210216 4503952 7367878 7881916 8420432 12104371 14735756 15763832 24208742 29471512 31527664 48417484 58943024 84730597 96834968 169461194 193669936 338922388 677844776 1355689552