Search a number
-
+
548941952 = 2713477019
BaseRepresentation
bin100000101110000…
…011000010000000
31102020221010210102
4200232003002000
52111012120302
6130245421532
716413633566
oct4056030200
91366833712
10548941952
11261955239
12133a0a8a8
138995ca30
1452c95a36
15332d4702
hex20b83080

548941952 has 64 divisors (see below), whose sum is σ = 1202947200. Its totient is φ = 247931904.

The previous prime is 548941933. The next prime is 548941961. The reversal of 548941952 is 259149845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 548941897 and 548941906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74699 + ... + 81717.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2548941952 is an apocalyptic number.

548941952 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 548941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

548941952 is an abundant number, since it is smaller than the sum of its proper divisors (654005248).

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

548941952 is a wasteful number, since it uses less digits than its factorization.

548941952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7081 counting only the distinct ones).

The product of its digits is 518400, while the sum is 47.

The square root of 548941952 is about 23429.5102808403. The cubic root of 548941952 is about 818.7955507785.

The spelling of 548941952 in words is "five hundred forty-eight million, nine hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 1222 1504 1664 2444 3008 4888 6016 7019 9776 14038 19552 28076 39104 56152 78208 91247 112304 182494 224608 329893 364988 449216 659786 729976 898432 1319572 1459952 2639144 2919904 4288609 5278288 5839808 8577218 10556576 11679616 17154436 21113152 34308872 42226304 68617744 137235488 274470976 548941952