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54838056 = 233721317211
BaseRepresentation
bin1101000100110…
…0001100101000
310211012001200010
43101030030220
5103014304211
65235211520
71234054500
oct321141450
9124161603
1054838056
1128a55709
1216446ba0
13b490570
1473d6a00
154c334a6
hex344c328

54838056 has 192 divisors, whose sum is σ = 182710080. Its totient is φ = 13547520.

The previous prime is 54838037. The next prime is 54838061. The reversal of 54838056 is 65083845.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259791 + ... + 260001.

It is an arithmetic number, because the mean of its divisors is an integer number (951615).

Almost surely, 254838056 is an apocalyptic number.

54838056 is a gapful number since it is divisible by the number (56) 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 54838056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91355040).

54838056 is an abundant number, since it is smaller than the sum of its proper divisors (127872024).

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

54838056 is a wasteful number, since it uses less digits than its factorization.

54838056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 54838056 is about 7405.2721759568. The cubic root of 54838056 is about 379.9216274199.

The spelling of 54838056 in words is "fifty-four million, eight hundred thirty-eight thousand, fifty-six".