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55129032 = 23337192101
BaseRepresentation
bin1101001001001…
…1001111001000
310211201211211000
43102103033020
5103103112112
65245335000
71236406020
oct322231710
9124654730
1055129032
1129134292
1216567460
13b562b3a
147470a80
154c8e7dc
hex34933c8

55129032 has 192 divisors, whose sum is σ = 186537600. Its totient is φ = 14774400.

The previous prime is 55128973. The next prime is 55129033. The reversal of 55129032 is 23092155.

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 = 55128987 and 55129005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55129033) 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, 545782 + ... + 545882.

It is an arithmetic number, because the mean of its divisors is an integer number (971550).

Almost surely, 255129032 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 55129032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93268800).

55129032 is an abundant number, since it is smaller than the sum of its proper divisors (131408568).

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

55129032 is a wasteful number, since it uses less digits than its factorization.

55129032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

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

The square root of 55129032 is about 7424.8927264978. The cubic root of 55129032 is about 380.5924093040.

The spelling of 55129032 in words is "fifty-five million, one hundred twenty-nine thousand, thirty-two".