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54400000 = 2105517
BaseRepresentation
bin1100111110000…
…1010000000000
310210100210202211
43033201100000
5102411300000
65221551504
71230251404
oct317412000
9123323684
1054400000
1128786586
1216275594
13b369065
147321104
154b987ba
hex33e1400

54400000 has 132 divisors (see below), whose sum is σ = 143920476. Its totient is φ = 20480000.

The previous prime is 54399997. The next prime is 54400039. The reversal of 54400000 is 445.

It can be written as a sum of positive squares in 6 ways, for example, as 38142976 + 16257024 = 6176^2 + 4032^2 .

It is a nialpdrome in base 10.

It is a congruent number.

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, 3199992 + ... + 3200008.

Almost surely, 254400000 is an apocalyptic number.

54400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71960238).

54400000 is an abundant number, since it is smaller than the sum of its proper divisors (89520476).

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

54400000 is an frugal number, since it uses more digits than its factorization.

54400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 54400000 is about 7375.6355658343. The cubic root of 54400000 is about 378.9072948744.

Adding to 54400000 its reverse (445), we get a palindrome (54400445).

The spelling of 54400000 in words is "fifty-four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 512 544 625 640 680 800 850 1000 1024 1088 1250 1280 1360 1600 1700 2000 2125 2176 2500 2560 2720 3125 3200 3400 4000 4250 4352 5000 5120 5440 6250 6400 6800 8000 8500 8704 10000 10625 10880 12500 12800 13600 16000 17000 17408 20000 21250 21760 25000 25600 27200 32000 34000 40000 42500 43520 50000 53125 54400 64000 68000 80000 85000 87040 100000 106250 108800 128000 136000 160000 170000 200000 212500 217600 272000 320000 340000 400000 425000 435200 544000 640000 680000 800000 850000 1088000 1360000 1600000 1700000 2176000 2720000 3200000 3400000 5440000 6800000 10880000 13600000 27200000 54400000