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55931040 = 25335112107
BaseRepresentation
bin1101010101011…
…1000010100000
310220020120222000
43111113002200
5103304243130
65314444000
71246256154
oct325270240
9126216860
1055931040
1129631900
1216893600
13b783bb9
1475dd064
154d9c260
hex35570a0

55931040 has 288 divisors, whose sum is σ = 217183680. Its totient is φ = 13432320.

The previous prime is 55931027. The next prime is 55931047. The reversal of 55931040 is 4013955.

55931040 is a `hidden beast` number, since 559 + 3 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55930995 and 55931013.

It is not an unprimeable number, because it can be changed into a prime (55931047) 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, 522667 + ... + 522773.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 255931040 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 55931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

55931040 is an abundant number, since it is smaller than the sum of its proper divisors (161252640).

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

55931040 is a wasteful number, since it uses less digits than its factorization.

55931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55931040 is about 7478.7057703857. The cubic root of 55931040 is about 382.4291295072.

Adding to 55931040 its reverse (4013955), we get a palindrome (59944995).

The spelling of 55931040 in words is "fifty-five million, nine hundred thirty-one thousand, forty".