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55435380 = 223571113271
BaseRepresentation
bin1101001101111…
…0000001110100
310212022102001020
43103132001310
5103142413010
65300101140
71242123120
oct323360164
9125272036
1055435380
1129323470
12166947b0
13b63c400
147510580
154d00470
hex34de074

55435380 has 288 divisors, whose sum is σ = 212502528. Its totient is φ = 10483200.

The previous prime is 55435379. The next prime is 55435411. The reversal of 55435380 is 8353455.

55435380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780745 + ... + 780815.

It is an arithmetic number, because the mean of its divisors is an integer number (737856).

Almost surely, 255435380 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 55435380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264).

55435380 is an abundant number, since it is smaller than the sum of its proper divisors (157067148).

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

55435380 is a wasteful number, since it uses less digits than its factorization.

55435380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 55435380 is about 7445.4939392897. The cubic root of 55435380 is about 381.2960822198.

The spelling of 55435380 in words is "fifty-five million, four hundred thirty-five thousand, three hundred eighty".