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55384896 = 26373292
BaseRepresentation
bin1101001101000…
…1101101000000
310212012211210110
43103101231000
5103134304041
65255031320
71241523000
oct323215500
9125184713
1055384896
1129299546
121666b540
13b622438
1474da000
154ce0516
hex34d1b40

55384896 has 168 divisors, whose sum is σ = 176987200. Its totient is φ = 15278592.

The previous prime is 55384883. The next prime is 55384913. The reversal of 55384896 is 69848355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 1909810 + ... + 1909838.

Almost surely, 255384896 is an apocalyptic number.

55384896 is a gapful number since it is divisible by the number (56) 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 55384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88493600).

55384896 is an abundant number, since it is smaller than the sum of its proper divisors (121602304).

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

55384896 is an equidigital number, since it uses as much as digits as its factorization.

55384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 55384896 is about 7442.1029286083. The cubic root of 55384896 is about 381.1803005792.

It can be divided in two parts, 55384 and 896, that added together give a triangular number (56280 = T335).

The spelling of 55384896 in words is "fifty-five million, three hundred eighty-four thousand, eight hundred ninety-six".