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55970000 = 245429193
BaseRepresentation
bin1101010110000…
…0100011010000
310220022120101222
43111200203100
5103312020000
65315344212
71246510562
oct325404320
9126276358
1055970000
11296590a9
12168b2068
13b798858
14760d332
154da8a85
hex35608d0

55970000 has 100 divisors (see below), whose sum is σ = 140908020. Its totient is φ = 21504000.

The previous prime is 55969993. The next prime is 55970009. The reversal of 55970000 is 7955.

It can be written as a sum of positive squares in 10 ways, for example, as 48330304 + 7639696 = 6952^2 + 2764^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55970009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289904 + ... + 290096.

Almost surely, 255970000 is an apocalyptic number.

55970000 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 55970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70454010).

55970000 is an abundant number, since it is smaller than the sum of its proper divisors (84938020).

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

55970000 is a wasteful number, since it uses less digits than its factorization.

55970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 55970000 is about 7481.3100457072. The cubic root of 55970000 is about 382.5179053802.

Adding to 55970000 its reverse (7955), we get a palindrome (55977955).

The spelling of 55970000 in words is "fifty-five million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 193 200 232 250 290 386 400 464 500 580 625 725 772 965 1000 1160 1250 1450 1544 1930 2000 2320 2500 2900 3088 3625 3860 4825 5000 5597 5800 7250 7720 9650 10000 11194 11600 14500 15440 18125 19300 22388 24125 27985 29000 36250 38600 44776 48250 55970 58000 72500 77200 89552 96500 111940 120625 139925 145000 193000 223880 241250 279850 290000 386000 447760 482500 559700 699625 965000 1119400 1399250 1930000 2238800 2798500 3498125 5597000 6996250 11194000 13992500 27985000 55970000