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55944720 = 243251343139
BaseRepresentation
bin1101010101101…
…0011000010000
310220021021201200
43111122120100
5103310212340
65315031200
71246344066
oct325323020
9126237650
1055944720
1129641107
121689b500
13b78a1b0
147604036
154da1330
hex355a610

55944720 has 240 divisors, whose sum is σ = 208528320. Its totient is φ = 13353984.

The previous prime is 55944701. The next prime is 55944727. The reversal of 55944720 is 2744955.

55944720 is a `hidden beast` number, since 5 + 594 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (55944727) 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 47 ways as a sum of consecutive naturals, for example, 402411 + ... + 402549.

It is an arithmetic number, because the mean of its divisors is an integer number (868868).

Almost surely, 255944720 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 55944720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104264160).

55944720 is an abundant number, since it is smaller than the sum of its proper divisors (152583600).

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

55944720 is a wasteful number, since it uses less digits than its factorization.

55944720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55944720 is about 7479.6203112190. The cubic root of 55944720 is about 382.4603060180.

The spelling of 55944720 in words is "fifty-five million, nine hundred forty-four thousand, seven hundred twenty".