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55303560 = 23345132101
BaseRepresentation
bin1101001011110…
…1110110001000
310212001201020000
43102331312020
5103124203220
65253203000
71241033604
oct322756610
9125051200
1055303560
1129243424
1216630460
13b5c4400
1474b8504
154cc6390
hex34bdd88

55303560 has 240 divisors, whose sum is σ = 203272740. Its totient is φ = 13478400.

The previous prime is 55303531. The next prime is 55303579. The reversal of 55303560 is 6530355.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18507204 + 36796356 = 4302^2 + 6066^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547510 + ... + 547610.

Almost surely, 255303560 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 55303560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101636370).

55303560 is an abundant number, since it is smaller than the sum of its proper divisors (147969180).

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

55303560 is a wasteful number, since it uses less digits than its factorization.

55303560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 55303560 is about 7436.6363364091. The cubic root of 55303560 is about 380.9936138802.

The spelling of 55303560 in words is "fifty-five million, three hundred three thousand, five hundred sixty".