Search a number
-
+
54381408 = 2531095197
BaseRepresentation
bin1100111101110…
…0101101100000
310210022212021020
43033130231200
5102410201113
65221325440
71230143244
oct317345540
9123285236
1054381408
1128773614
1216266880
13b360763
147318424
154b93023
hex33dcb60

54381408 has 48 divisors (see below), whose sum is σ = 144088560. Its totient is φ = 17957376.

The previous prime is 54381391. The next prime is 54381427. The reversal of 54381408 is 80418345.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7866 + ... + 13062.

It is an arithmetic number, because the mean of its divisors is an integer number (3001845).

Almost surely, 254381408 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 54381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72044280).

54381408 is an abundant number, since it is smaller than the sum of its proper divisors (89707152).

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

54381408 is a wasteful number, since it uses less digits than its factorization.

54381408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 54381408 is about 7374.3750921688. The cubic root of 54381408 is about 378.8641242425.

The spelling of 54381408 in words is "fifty-four million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5197 5232 10394 10464 15591 20788 31182 41576 62364 83152 124728 166304 249456 498912 566473 1132946 1699419 2265892 3398838 4531784 6797676 9063568 13595352 18127136 27190704 54381408