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55765376 = 272983181
BaseRepresentation
bin1101010010111…
…0100110000000
310212221011201022
43110232212000
5103233443001
65311125012
71244666162
oct324564600
9125834638
1055765376
1129529397
1216813768
13b726684
147598932
154d6811b
hex352e980

55765376 has 64 divisors (see below), whose sum is σ = 116953200. Its totient is φ = 26449920.

The previous prime is 55765343. The next prime is 55765403. The reversal of 55765376 is 67356755.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308006 + ... + 308186.

Almost surely, 255765376 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 55765376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58476600).

55765376 is an abundant number, since it is smaller than the sum of its proper divisors (61187824).

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

55765376 is a wasteful number, since it uses less digits than its factorization.

55765376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its digits is 661500, while the sum is 44.

The square root of 55765376 is about 7467.6218436662. The cubic root of 55765376 is about 382.0511796051.

The spelling of 55765376 in words is "fifty-five million, seven hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 83 116 128 166 181 232 332 362 464 664 724 928 1328 1448 1856 2407 2656 2896 3712 4814 5249 5312 5792 9628 10498 10624 11584 15023 19256 20996 23168 30046 38512 41992 60092 77024 83984 120184 154048 167968 240368 308096 335936 435667 480736 671872 871334 961472 1742668 1922944 3485336 6970672 13941344 27882688 55765376