Search a number
-
+
5505683352 = 2331321971443
BaseRepresentation
bin1010010000010101…
…00000111110011000
3112012200220200201020
411020022200332120
542233423331402
62310153522440
7253302351651
oct51012407630
915180820636
105505683352
1123758a6434
121097a13420
13699853800
143a32d6528
152235438bc
hex1482a0f98

5505683352 has 96 divisors (see below), whose sum is σ = 15689102400. Its totient is φ = 1604873088.

The previous prime is 5505683347. The next prime is 5505683357. The reversal of 5505683352 is 2533865055.

It is an interprime number because it is at equal distance from previous prime (5505683347) and next prime (5505683357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505683357) 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 23 ways as a sum of consecutive naturals, for example, 41343 + ... + 112785.

It is an arithmetic number, because the mean of its divisors is an integer number (163428150).

Almost surely, 25505683352 is an apocalyptic number.

5505683352 is a gapful number since it is divisible by the number (52) 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 5505683352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844551200).

5505683352 is an abundant number, since it is smaller than the sum of its proper divisors (10183419048).

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

5505683352 is a wasteful number, since it uses less digits than its factorization.

5505683352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71497 (or 71480 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The square root of 5505683352 is about 74200.2921288050. The cubic root of 5505683352 is about 1765.7819647905.

The spelling of 5505683352 in words is "five billion, five hundred five million, six hundred eighty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 456 494 507 676 741 988 1014 1352 1482 1976 2028 2964 3211 4056 5928 6422 9633 12844 19266 25688 38532 71443 77064 142886 214329 285772 428658 571544 857316 928759 1357417 1714632 1857518 2714834 2786277 3715036 4072251 5429668 5572554 7430072 8144502 10859336 11145108 12073867 16289004 17646421 22290216 24147734 32578008 35292842 36221601 48295468 52939263 70585684 72443202 96590936 105878526 141171368 144886404 211757052 229403473 289772808 423514104 458806946 688210419 917613892 1376420838 1835227784 2752841676 5505683352