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255505440 = 25354112983
BaseRepresentation
bin11110011101010…
…11010000100000
3122210210000120110
433032223100200
51010402133230
641204211320
76221521551
oct1716532040
9583700513
10255505440
11121254023
1271699b40
1340c1c568
1425d10328
15176704b0
hexf3ab420

255505440 has 96 divisors (see below), whose sum is σ = 824535936. Its totient is φ = 66467840.

The previous prime is 255505433. The next prime is 255505451. The reversal of 255505440 is 44505552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 255505398 and 255505407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13189 + ... + 26171.

It is an arithmetic number, because the mean of its divisors is an integer number (8588916).

Almost surely, 2255505440 is an apocalyptic number.

255505440 is a gapful number since it is divisible by the number (20) 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 255505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412267968).

255505440 is an abundant number, since it is smaller than the sum of its proper divisors (569030496).

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

255505440 is a wasteful number, since it uses less digits than its factorization.

255505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 255505440 is about 15984.5375284992. The cubic root of 255505440 is about 634.5512691431.

The spelling of 255505440 in words is "two hundred fifty-five million, five hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 12983 19680 25966 38949 51932 64915 77898 103864 129830 155796 194745 207728 259660 311592 389490 415456 519320 532303 623184 778980 1038640 1064606 1246368 1557960 1596909 2077280 2129212 2661515 3115920 3193818 4258424 5323030 6231840 6387636 7984545 8516848 10646060 12775272 15969090 17033696 21292120 25550544 31938180 42584240 51101088 63876360 85168480 127752720 255505440