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54387424 = 2571319983
BaseRepresentation
bin1100111101111…
…0001011100000
310210100011112001
43033132023200
5102410344144
65221413344
71230166630
oct317361340
9123304461
1054387424
1128778093
121626a254
13b363410
14731a6c0
154b94bd4
hex33de2e0

54387424 has 96 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 20362752.

The previous prime is 54387407. The next prime is 54387427. The reversal of 54387424 is 42478345.

Its product of digits (107520) is a multiple of the sum of its prime divisors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54387427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54837 + ... + 55819.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 254387424 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 54387424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

54387424 is an abundant number, since it is smaller than the sum of its proper divisors (84474656).

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

54387424 is a wasteful number, since it uses less digits than its factorization.

54387424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The square root of 54387424 is about 7374.7829798578. The cubic root of 54387424 is about 378.8780944737.

The spelling of 54387424 in words is "fifty-four million, three hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 983 988 1064 1456 1729 1966 1976 2128 2912 3458 3932 3952 4256 6881 6916 7864 7904 12779 13762 13832 15728 18677 25558 27524 27664 31456 37354 51116 55048 55328 74708 89453 102232 110096 130739 149416 178906 204464 220192 242801 261478 298832 357812 408928 485602 522956 597664 715624 971204 1045912 1431248 1699607 1942408 2091824 2862496 3399214 3884816 4183648 6798428 7769632 13596856 27193712 54387424