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54643920 = 24352231021
BaseRepresentation
bin1101000001110…
…0110011010000
310210211012100220
43100130303100
5102442101140
65231113040
71232315502
oct320346320
9123735326
1054643920
1128932871
1216372780
13b4230a6
147385d72
154be5bd0
hex341ccd0

54643920 has 80 divisors (see below), whose sum is σ = 170322432. Its totient is φ = 14492160.

The previous prime is 54643913. The next prime is 54643949. The reversal of 54643920 is 2934645.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 53010 + ... + 54030.

Almost surely, 254643920 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 54643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161216).

54643920 is an abundant number, since it is smaller than the sum of its proper divisors (115678512).

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

54643920 is a wasteful number, since it uses less digits than its factorization.

54643920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 54643920 is about 7392.1525958276. The cubic root of 54643920 is about 379.4727683682.

The spelling of 54643920 in words is "fifty-four million, six hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1021 1115 1338 1784 2042 2230 2676 3063 3345 3568 4084 4460 5105 5352 6126 6690 8168 8920 10210 10704 12252 13380 15315 16336 17840 20420 24504 26760 30630 40840 49008 53520 61260 81680 122520 227683 245040 455366 683049 910732 1138415 1366098 1821464 2276830 2732196 3415245 3642928 4553660 5464392 6830490 9107320 10928784 13660980 18214640 27321960 54643920