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54444390 = 23573111337
BaseRepresentation
bin1100111110110…
…0000101100110
310210110001122220
43033230011212
5102414210030
65222533210
71230525000
oct317540546
9123401586
1054444390
1128806970
1216297206
13b383320
147333370
154ba6a10
hex33ec166

54444390 has 256 divisors, whose sum is σ = 183859200. Its totient is φ = 10160640.

The previous prime is 54444373. The next prime is 54444413. The reversal of 54444390 is 9344445.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1471452 + ... + 1471488.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 254444390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54444390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

54444390 is an abundant number, since it is smaller than the sum of its proper divisors (129414810).

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

54444390 is a wasteful number, since it uses less digits than its factorization.

54444390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 54444390 is about 7378.6441844014. The cubic root of 54444390 is about 379.0103287100.

It can be divided in two parts, 54 and 444390, that added together give a palindrome (444444).

The spelling of 54444390 in words is "fifty-four million, four hundred forty-four thousand, three hundred ninety".