Search a number
-
+
55773264 = 24329103389
BaseRepresentation
bin1101010011000…
…0100001010000
310212221120112110
43110300201100
5103234221024
65311225320
71245031161
oct324604120
9125846473
1055773264
1129534308
1216818240
13b72a141
14759b768
154d6a629
hex3530850

55773264 has 80 divisors (see below), whose sum is σ = 150883200. Its totient is φ = 17730048.

The previous prime is 55773253. The next prime is 55773283. The reversal of 55773264 is 46237755.

It is a super-2 number, since 2×557732642 = 6221313954427392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143182 + ... + 143570.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 255773264 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 55773264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75441600).

55773264 is an abundant number, since it is smaller than the sum of its proper divisors (95109936).

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

55773264 is a wasteful number, since it uses less digits than its factorization.

55773264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 55773264 is about 7468.1499717132. The cubic root of 55773264 is about 382.0691924406.

The spelling of 55773264 in words is "fifty-five million, seven hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 103 116 174 206 232 309 348 389 412 464 618 696 778 824 1167 1236 1392 1556 1648 2334 2472 2987 3112 4668 4944 5974 6224 8961 9336 11281 11948 17922 18672 22562 23896 33843 35844 40067 45124 47792 67686 71688 80134 90248 120201 135372 143376 160268 180496 240402 270744 320536 480804 541488 641072 961608 1161943 1923216 2323886 3485829 4647772 6971658 9295544 13943316 18591088 27886632 55773264