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550138400 = 25527313169
BaseRepresentation
bin100000110010100…
…111001000100000
31102100011221000022
4200302213020200
52111313412100
6130331213012
716430046020
oct4062471040
91370157008
10550138400
112625a2139
121342a7168
1389c8b4a6
14530c7a80
153346de85
hex20ca7220

550138400 has 144 divisors (see below), whose sum is σ = 1584898560. Its totient is φ = 182476800.

The previous prime is 550138399. The next prime is 550138409. The reversal of 550138400 is 4831055.

It is a self number, because there is not a number n which added to its sum of digits gives 550138400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550138409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172016 + ... + 175184.

It is an arithmetic number, because the mean of its divisors is an integer number (11006240).

Almost surely, 2550138400 is an apocalyptic number.

550138400 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 550138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792449280).

550138400 is an abundant number, since it is smaller than the sum of its proper divisors (1034760160).

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

550138400 is a wasteful number, since it uses less digits than its factorization.

550138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 550138400 is about 23455.0293114291. The cubic root of 550138400 is about 819.3899885121.

Adding to 550138400 its reverse (4831055), we get a palindrome (554969455).

The spelling of 550138400 in words is "five hundred fifty million, one hundred thirty-eight thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 350 400 434 496 560 620 700 775 800 868 992 1085 1120 1240 1400 1550 1736 2170 2480 2800 3100 3169 3472 4340 4960 5425 5600 6200 6338 6944 8680 10850 12400 12676 15845 17360 21700 22183 24800 25352 31690 34720 43400 44366 50704 63380 79225 86800 88732 98239 101408 110915 126760 158450 173600 177464 196478 221830 253520 316900 354928 392956 443660 491195 507040 554575 633800 687673 709856 785912 887320 982390 1109150 1267600 1375346 1571824 1774640 1964780 2218300 2455975 2535200 2750692 3143648 3438365 3549280 3929560 4436600 4911950 5501384 6876730 7859120 8873200 9823900 11002768 13753460 15718240 17191825 17746400 19647800 22005536 27506920 34383650 39295600 55013840 68767300 78591200 110027680 137534600 275069200 550138400