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54291456 = 2103243137
BaseRepresentation
bin1100111100011…
…0110000000000
310210011021212200
43033012300000
5102344311311
65215353200
71226320062
oct317066000
9123137780
1054291456
1128711a7a
1216222800
13b32b82b
1472d3732
154b76556
hex33c6c00

54291456 has 132 divisors (see below), whose sum is σ = 161581992. Its totient is φ = 17547264.

The previous prime is 54291449. The next prime is 54291481. The reversal of 54291456 is 65419245.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54291456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396220 + ... + 396356.

It is an arithmetic number, because the mean of its divisors is an integer number (1224106).

Almost surely, 254291456 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 54291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80790996).

54291456 is an abundant number, since it is smaller than the sum of its proper divisors (107290536).

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

54291456 is a wasteful number, since it uses less digits than its factorization.

54291456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 54291456 is about 7368.2736105549. The cubic root of 54291456 is about 378.6551165778.

The spelling of 54291456 in words is "fifty-four million, two hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 137 144 172 192 256 258 274 288 344 384 387 411 512 516 548 576 688 768 774 822 1024 1032 1096 1152 1233 1376 1536 1548 1644 2064 2192 2304 2466 2752 3072 3096 3288 4128 4384 4608 4932 5504 5891 6192 6576 8256 8768 9216 9864 11008 11782 12384 13152 16512 17536 17673 19728 22016 23564 24768 26304 33024 35072 35346 39456 44032 47128 49536 52608 53019 66048 70144 70692 78912 94256 99072 105216 106038 132096 140288 141384 157824 188512 198144 210432 212076 282768 315648 377024 396288 420864 424152 565536 631296 754048 848304 1131072 1262592 1508096 1696608 2262144 3016192 3393216 4524288 6032384 6786432 9048576 13572864 18097152 27145728 54291456