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54381280 = 2552831201
BaseRepresentation
bin1100111101110…
…0101011100000
310210022212002111
43033130223200
5102410200110
65221325104
71230143002
oct317345340
9123285074
1054381280
1128773508
1216266794
13b360695
147318372
154b92e8a
hex33dcae0

54381280 has 48 divisors (see below), whose sum is σ = 129037104. Its totient is φ = 21657600.

The previous prime is 54381253. The next prime is 54381281. The reversal of 54381280 is 8218345.

It is a super-2 number, since 2×543812802 = 5914647228876800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54381281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44680 + ... + 45880.

It is an arithmetic number, because the mean of its divisors is an integer number (2688273).

Almost surely, 254381280 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 54381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64518552).

54381280 is an abundant number, since it is smaller than the sum of its proper divisors (74655824).

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

54381280 is a wasteful number, since it uses less digits than its factorization.

54381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 54381280 is about 7374.3664134622. The cubic root of 54381280 is about 378.8638269924.

The spelling of 54381280 in words is "fifty-four million, three hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1201 1415 2264 2402 2830 4528 4804 5660 6005 9056 9608 11320 12010 19216 22640 24020 38432 45280 48040 96080 192160 339883 679766 1359532 1699415 2719064 3398830 5438128 6797660 10876256 13595320 27190640 54381280