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54492000 = 2535319239
BaseRepresentation
bin1100111111011…
…1101101100000
310210112110222020
43033313231200
5102422221000
65223541440
71231113543
oct317675540
9123473866
1054492000
1128839712
12162ba880
13b39bbb4
14734685a
154bb5ba0
hex33f7b60

54492000 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 13708800.

The previous prime is 54491989. The next prime is 54492001. The reversal of 54492000 is 29445.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54492001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227881 + ... + 228119.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 254492000 is an apocalyptic number.

54492000 is a gapful number since it is divisible by the number (50) 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 54492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

54492000 is an abundant number, since it is smaller than the sum of its proper divisors (134205600).

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

54492000 is a wasteful number, since it uses less digits than its factorization.

54492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54492000 is about 7381.8696818624. The cubic root of 54492000 is about 379.1207742763.

The spelling of 54492000 in words is "fifty-four million, four hundred ninety-two thousand".