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55495440 = 243257211213
BaseRepresentation
bin1101001110110…
…0101100010000
310212102110102200
43103230230100
5103201323230
65301243200
71242463200
oct323545420
9125373380
1055495440
1129364600
1216703500
13b660850
147528400
154d13160
hex34ecb10

55495440 has 540 divisors, whose sum is σ = 256632012. Its totient is φ = 10644480.

The previous prime is 55495423. The next prime is 55495441. The reversal of 55495440 is 4459455.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 41835024 = 3696^2 + 6468^2 .

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 = 55495395 and 55495404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55495441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268874 + ... + 4268886.

Almost surely, 255495440 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 55495440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128316006).

55495440 is an abundant number, since it is smaller than the sum of its proper divisors (201136572).

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

55495440 is a wasteful number, since it uses less digits than its factorization.

55495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 55495440 is about 7449.5261594279. The cubic root of 55495440 is about 381.4337342470.

The spelling of 55495440 in words is "fifty-five million, four hundred ninety-five thousand, four hundred forty".