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55121400 = 233252113271
BaseRepresentation
bin1101001001000…
…1010111111000
310211201110100100
43102101113320
5103102341100
65245235400
71236344535
oct322212770
9124643310
1055121400
1129129584
1216562b60
13b55c519
14746bd8c
154c8c400
hex34915f8

55121400 has 144 divisors (see below), whose sum is σ = 187443360. Its totient is φ = 14515200.

The previous prime is 55121393. The next prime is 55121401. The reversal of 55121400 is 412155.

55121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203265 + ... + 203535.

It is an arithmetic number, because the mean of its divisors is an integer number (1301690).

Almost surely, 255121400 is an apocalyptic number.

55121400 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 55121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93721680).

55121400 is an abundant number, since it is smaller than the sum of its proper divisors (132321960).

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

55121400 is a wasteful number, since it uses less digits than its factorization.

55121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55121400 is about 7424.3787618898. The cubic root of 55121400 is about 380.5748455678.

Adding to 55121400 its reverse (412155), we get a palindrome (55533555).

The spelling of 55121400 in words is "fifty-five million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 225 226 271 300 339 360 450 452 542 565 600 678 813 900 904 1017 1084 1130 1355 1356 1626 1695 1800 2034 2168 2260 2439 2710 2712 2825 3252 3390 4065 4068 4520 4878 5085 5420 5650 6504 6775 6780 8130 8136 8475 9756 10170 10840 11300 12195 13550 13560 16260 16950 19512 20325 20340 22600 24390 25425 27100 30623 32520 33900 40650 40680 48780 50850 54200 60975 61246 67800 81300 91869 97560 101700 121950 122492 153115 162600 183738 203400 243900 244984 275607 306230 367476 459345 487800 551214 612460 734952 765575 918690 1102428 1224920 1378035 1531150 1837380 2204856 2296725 2756070 3062300 3674760 4593450 5512140 6124600 6890175 9186900 11024280 13780350 18373800 27560700 55121400