Search a number
-
+
47919828 = 22311734973
BaseRepresentation
bin1011011011001…
…1001011010100
310100011120122110
42312303023110
544231413303
64431031020
71121211645
oct266631324
9110146573
1047919828
112505a970
121406b470
139c0a638
1465156cc
154318703
hex2db32d4

47919828 has 48 divisors (see below), whose sum is σ = 123673536. Its totient is φ = 14319360.

The previous prime is 47919827. The next prime is 47919869. The reversal of 47919828 is 82891974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47919827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7150 + ... + 12122.

It is an arithmetic number, because the mean of its divisors is an integer number (2576532).

Almost surely, 247919828 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 47919828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61836768).

47919828 is an abundant number, since it is smaller than the sum of its proper divisors (75753708).

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

47919828 is a wasteful number, since it uses less digits than its factorization.

47919828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5062 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 47919828 is about 6922.4148965516. The cubic root of 47919828 is about 363.2216694330.

The spelling of 47919828 in words is "forty-seven million, nine hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 4973 9636 9946 14919 19892 29838 54703 59676 109406 164109 218812 328218 363029 656436 726058 1089087 1452116 2178174 3993319 4356348 7986638 11979957 15973276 23959914 47919828