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55404240 = 24352310037
BaseRepresentation
bin1101001101011…
…0011011010000
310212020211022220
43103112123100
5103140413430
65255301040
71241633253
oct323263320
9125224286
1055404240
1129302031
121667a780
13b62b198
14750309a
154ce6110
hex34d66d0

55404240 has 80 divisors (see below), whose sum is σ = 179238528. Its totient is φ = 14130688.

The previous prime is 55404227. The next prime is 55404313. The reversal of 55404240 is 4240455.

55404240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 55404240.

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 15 ways as a sum of consecutive naturals, for example, 502 + ... + 10538.

Almost surely, 255404240 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 55404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89619264).

55404240 is an abundant number, since it is smaller than the sum of its proper divisors (123834288).

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

55404240 is a wasteful number, since it uses less digits than its factorization.

55404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 55404240 is about 7443.4024478057. The cubic root of 55404240 is about 381.2246730465.

Adding to 55404240 its reverse (4240455), we get a palindrome (59644695).

The spelling of 55404240 in words is "fifty-five million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 10037 20074 30111 40148 50185 60222 80296 100370 120444 150555 160592 200740 230851 240888 301110 401480 461702 481776 602220 692553 802960 923404 1154255 1204440 1385106 1846808 2308510 2408880 2770212 3462765 3693616 4617020 5540424 6925530 9234040 11080848 13851060 18468080 27702120 55404240