Search a number
-
+
5552780856 = 23371719102329
BaseRepresentation
bin1010010101111100…
…01011011000111000
3112022222112111100020
411022332023120320
542333002441411
62314555210440
7254413600320
oct51276133070
915288474306
105552780856
11239a444497
1210ab746a20
136a6533a5c
143a9676280
15227748606
hex14af8b638

5552780856 has 128 divisors (see below), whose sum is σ = 17682624000. Its totient is φ = 1414582272.

The previous prime is 5552780767. The next prime is 5552780861. The reversal of 5552780856 is 6580872555.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 5552780799 and 5552780808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3100 + ... + 105428.

It is an arithmetic number, because the mean of its divisors is an integer number (138145500).

Almost surely, 25552780856 is an apocalyptic number.

5552780856 is a gapful number since it is divisible by the number (56) 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 5552780856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841312000).

5552780856 is an abundant number, since it is smaller than the sum of its proper divisors (12129843144).

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

5552780856 is a wasteful number, since it uses less digits than its factorization.

5552780856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102381 (or 102377 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 51.

The square root of 5552780856 is about 74516.9836748643. The cubic root of 5552780856 is about 1770.8027103766.

The spelling of 5552780856 in words is "five billion, five hundred fifty-two million, seven hundred eighty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6783 7752 9044 13566 18088 27132 54264 102329 204658 306987 409316 613974 716303 818632 1227948 1432606 1739593 1944251 2148909 2455896 2865212 3479186 3888502 4297818 5218779 5730424 5832753 6958372 7777004 8595636 10437558 11665506 12177151 13609757 13916744 15554008 17191272 20875116 23331012 24354302 27219514 33052267 36531453 40829271 41750232 46662024 48708604 54439028 66104534 73062906 81658542 97417208 99156801 108878056 132209068 146125812 163317084 198313602 231365869 264418136 292251624 326634168 396627204 462731738 694097607 793254408 925463476 1388195214 1850926952 2776390428 5552780856