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55239840 = 2533519673
BaseRepresentation
bin1101001010111…
…0010010100000
310211221110211000
43102232102200
5103120133330
65251552000
71240350045
oct322562240
9124843730
1055239840
11291aa567
12165bb600
13b5a13c6
14749d1cc
154cb2560
hex34ae4a0

55239840 has 192 divisors, whose sum is σ = 203817600. Its totient is φ = 13934592.

The previous prime is 55239839. The next prime is 55239841. The reversal of 55239840 is 4893255.

55239840 is a `hidden beast` number, since 5 + 523 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (55239839) and next prime (55239841).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55239795 and 55239804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55239841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81744 + ... + 82416.

It is an arithmetic number, because the mean of its divisors is an integer number (1061550).

Almost surely, 255239840 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 55239840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101908800).

55239840 is an abundant number, since it is smaller than the sum of its proper divisors (148577760).

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

55239840 is a wasteful number, since it uses less digits than its factorization.

55239840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55239840 is about 7432.3509066782. The cubic root of 55239840 is about 380.8472324484.

The spelling of 55239840 in words is "fifty-five million, two hundred thirty-nine thousand, eight hundred forty".