Search a number
-
+
55574532 = 223313231721
BaseRepresentation
bin1101010000000…
…0000000000100
310212120110221000
43110000000010
5103211341112
65303053300
71243242606
oct324000004
9125513830
1055574532
1129408a72
1216741230
13b68a850
147549176
154d2b7dc
hex3500004

55574532 has 96 divisors (see below), whose sum is σ = 162005760. Its totient is φ = 16346880.

The previous prime is 55574507. The next prime is 55574567. The reversal of 55574532 is 23547555.

55574532 is a `hidden beast` number, since 5 + 55 + 74 + 532 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31432 + ... + 33152.

It is an arithmetic number, because the mean of its divisors is an integer number (1687560).

Almost surely, 255574532 is an apocalyptic number.

55574532 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 55574532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81002880).

55574532 is an abundant number, since it is smaller than the sum of its proper divisors (106431228).

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

55574532 is a wasteful number, since it uses less digits than its factorization.

55574532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 55574532 is about 7454.8327949056. The cubic root of 55574532 is about 381.6148544512.

The spelling of 55574532 in words is "fifty-five million, five hundred seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1721 1794 2484 2691 3442 3588 5163 5382 6884 8073 10326 10764 15489 16146 20652 22373 30978 32292 39583 44746 46467 61956 67119 79166 89492 92934 118749 134238 158332 185868 201357 237498 268476 356247 402714 474996 514579 604071 712494 805428 1029158 1068741 1208142 1424988 1543737 2058316 2137482 2416284 3087474 4274964 4631211 6174948 9262422 13893633 18524844 27787266 55574532