Search a number
-
+
55796448 = 25317179191
BaseRepresentation
bin1101010011011…
…0001011100000
310212222202100010
43110312023200
5103240441243
65311524520
71245155601
oct324661340
9125882303
1055796448
112954a774
1216829740
13b737866
1475a5da8
154d72433
hex35362e0

55796448 has 96 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 17315840.

The previous prime is 55796443. The next prime is 55796491. The reversal of 55796448 is 84469755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×557964482 = 6226487218833408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1209600) is a multiple of the sum of its prime factors (400).

It is a junction number, because it is equal to n+sod(n) for n = 55796397 and 55796406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55796443) 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, 292033 + ... + 292223.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 255796448 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 55796448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

55796448 is an abundant number, since it is smaller than the sum of its proper divisors (100967712).

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

55796448 is a wasteful number, since it uses less digits than its factorization.

55796448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 55796448 is about 7469.7020020882. The cubic root of 55796448 is about 382.1221250015.

The spelling of 55796448 in words is "fifty-five million, seven hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 179 191 204 272 358 382 408 537 544 573 716 764 816 1074 1146 1432 1528 1632 2148 2292 2864 3043 3056 3247 4296 4584 5728 6086 6112 6494 8592 9129 9168 9741 12172 12988 17184 18258 18336 19482 24344 25976 34189 36516 38964 48688 51952 68378 73032 77928 97376 102567 103904 136756 146064 155856 205134 273512 292128 311712 410268 547024 581213 820536 1094048 1162426 1641072 1743639 2324852 3282144 3487278 4649704 6974556 9299408 13949112 18598816 27898224 55796448