Search a number
-
+
47919102 = 237111953103
BaseRepresentation
bin1011011011001…
…0111111111110
310100011112122120
42312302333332
544231402402
64431023410
71121206560
oct266627776
9110145576
1047919102
112505a370
121406ab66
139c0a1ca
146515330
1543183bc
hex2db2ffe

47919102 has 128 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 11456640.

The previous prime is 47919077. The next prime is 47919103. The reversal of 47919102 is 20191974.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47919103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465183 + ... + 465285.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 247919102 is an apocalyptic number.

47919102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47919102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

47919102 is an abundant number, since it is smaller than the sum of its proper divisors (81473538).

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

47919102 is a wasteful number, since it uses less digits than its factorization.

47919102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 47919102 is about 6922.3624580052. The cubic root of 47919102 is about 363.2198351174.

The spelling of 47919102 in words is "forty-seven million, nine hundred nineteen thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 53 57 66 77 103 106 114 133 154 159 206 209 231 266 309 318 371 399 418 462 583 618 627 721 742 798 1007 1113 1133 1166 1254 1442 1463 1749 1957 2014 2163 2226 2266 2926 3021 3399 3498 3914 4081 4326 4389 5459 5871 6042 6798 7049 7931 8162 8778 10918 11077 11742 12243 13699 14098 15862 16377 21147 21527 22154 23793 24486 27398 32754 33231 38213 41097 42294 43054 47586 60049 64581 66462 76426 77539 82194 103721 114639 120098 129162 150689 155078 180147 207442 229278 232617 301378 311163 360294 420343 452067 465234 622326 726047 840686 904134 1140931 1261029 1452094 2178141 2281862 2522058 3422793 4356282 6845586 7986517 15973034 23959551 47919102