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55292328 = 23337132997
BaseRepresentation
bin1101001011101…
…1000110101000
310212001010211000
43102323012220
5103123323303
65253035000
71240656060
oct322730650
9125033730
1055292328
1129235a43
1216625a60
13b5bc270
1474b43a0
154cc2da3
hex34bb1a8

55292328 has 256 divisors, whose sum is σ = 197568000. Its totient is φ = 13934592.

The previous prime is 55292327. The next prime is 55292329. The reversal of 55292328 is 82329255.

55292328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55292327) and next prime (55292329).

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 = 55292292 and 55292301.

It is not an unprimeable number, because it can be changed into a prime (55292327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569976 + ... + 570072.

It is an arithmetic number, because the mean of its divisors is an integer number (771750).

Almost surely, 255292328 is an apocalyptic number.

55292328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55292328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784000).

55292328 is an abundant number, since it is smaller than the sum of its proper divisors (142275672).

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

55292328 is a wasteful number, since it uses less digits than its factorization.

55292328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 55292328 is about 7435.8811179308. The cubic root of 55292328 is about 380.9678192176.

The spelling of 55292328 in words is "fifty-five million, two hundred ninety-two thousand, three hundred twenty-eight".