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55330128 = 2435719107
BaseRepresentation
bin1101001100010…
…0010101010000
310212010001200000
43103010111100
5103131031003
65253530000
71241204220
oct323042520
9125101600
1055330128
1129261387
1216643900
13b603529
1474c4080
154cce1a3
hex34c4550

55330128 has 240 divisors, whose sum is σ = 194987520. Its totient is φ = 14836608.

The previous prime is 55330127. The next prime is 55330151. The reversal of 55330128 is 82103355.

55330128 is a `hidden beast` number, since 5 + 533 + 0 + 128 = 666.

It is a super-2 number, since 2×553301282 = 6122846128992768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55330127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517051 + ... + 517157.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 255330128 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 55330128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

55330128 is an abundant number, since it is smaller than the sum of its proper divisors (139657392).

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

55330128 is a wasteful number, since it uses less digits than its factorization.

55330128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55330128 is about 7438.4224133885. The cubic root of 55330128 is about 381.0546142802.

The spelling of 55330128 in words is "fifty-five million, three hundred thirty thousand, one hundred twenty-eight".