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54238752 = 2532474007
BaseRepresentation
bin1100111011100…
…1111000100000
310210001121120200
43032321320200
5102341120002
65214305200
71226010321
oct316717040
9123047520
1054238752
1128686417
12161b8200
13b310849
1472bc448
154b65b1c
hex33b9e20

54238752 has 72 divisors (see below), whose sum is σ = 157562496. Its totient is φ = 17690496.

The previous prime is 54238741. The next prime is 54238763. The reversal of 54238752 is 25783245.

54238752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54238741) and next prime (54238763).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11533 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (2188368).

Almost surely, 254238752 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 54238752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78781248).

54238752 is an abundant number, since it is smaller than the sum of its proper divisors (103323744).

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

54238752 is a wasteful number, since it uses less digits than its factorization.

54238752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4059 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 54238752 is about 7364.6963277517. The cubic root of 54238752 is about 378.5325491001.

The spelling of 54238752 in words is "fifty-four million, two hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4007 4512 6768 8014 12021 13536 16028 24042 32056 36063 48084 64112 72126 96168 128224 144252 188329 192336 288504 376658 384672 564987 577008 753316 1129974 1154016 1506632 1694961 2259948 3013264 3389922 4519896 6026528 6779844 9039792 13559688 18079584 27119376 54238752