Search a number
-
+
194045544 = 23347113889
BaseRepresentation
bin10111001000011…
…10011001101000
3111112010112110000
423210032121220
5344133424134
631131023000
74544234310
oct1344163150
9445115400
10194045544
119a596320
1254b9aa60
1331280c64
141bab2440
151207ee99
hexb90e668

194045544 has 160 divisors (see below), whose sum is σ = 677793600. Its totient is φ = 50388480.

The previous prime is 194045539. The next prime is 194045557. The reversal of 194045544 is 445540491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 194045499 and 194045508.

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 39 ways as a sum of consecutive naturals, for example, 47952 + ... + 51840.

It is an arithmetic number, because the mean of its divisors is an integer number (4236210).

Almost surely, 2194045544 is an apocalyptic number.

194045544 is a gapful number since it is divisible by the number (14) 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 194045544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338896800).

194045544 is an abundant number, since it is smaller than the sum of its proper divisors (483748056).

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

194045544 is a wasteful number, since it uses less digits than its factorization.

194045544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 194045544 is about 13930.0231155587. The cubic root of 194045544 is about 578.9413347633.

The spelling of 194045544 in words is "one hundred ninety-four million, forty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 3889 4158 4536 5544 6237 7128 7778 8316 11667 12474 15556 16632 23334 24948 27223 31112 35001 42779 46668 49896 54446 70002 81669 85558 93336 105003 108892 128337 140004 163338 171116 210006 217784 245007 256674 280008 299453 315009 326676 342232 385011 420012 490014 513348 598906 630018 653352 735021 770022 840024 898359 980028 1026696 1155033 1197812 1260036 1470042 1540044 1796718 1960056 2205063 2310066 2395624 2520072 2695077 2940084 3080088 3465099 3593436 4410126 4620132 5390154 5880168 6930198 7186872 8085231 8820252 9240264 10780308 13860396 16170462 17640504 21560616 24255693 27720792 32340924 48511386 64681848 97022772 194045544