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54454680 = 2334575
BaseRepresentation
bin1100111110111…
…0100110011000
310210110120210000
43033232212120
5102420022210
65223053000
71230600000
oct317564630
9123416700
1054454680
1128813675
12162a1160
13b387c07
147337000
154ba9ac0
hex33ee998

54454680 has 240 divisors, whose sum is σ = 213531120. Its totient is φ = 12446784.

The previous prime is 54454661. The next prime is 54454681. The reversal of 54454680 is 8645445.

54454680 is a `hidden beast` number, since 544 + 54 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54454681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7779237 + ... + 7779243.

It is an arithmetic number, because the mean of its divisors is an integer number (889713).

Almost surely, 254454680 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 54454680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106765560).

54454680 is an abundant number, since it is smaller than the sum of its proper divisors (159076440).

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

54454680 is an frugal number, since it uses more digits than its factorization.

54454680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 54454680 is about 7379.3414340305. The cubic root of 54454680 is about 379.0342048805.

The spelling of 54454680 in words is "fifty-four million, four hundred fifty-four thousand, six hundred eighty".