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56260200 = 23352412287
BaseRepresentation
bin1101011010011…
…1011001101000
310220212022111010
43112213121220
5103400311300
65325503520
71252126623
oct326473150
9126768433
1056260200
1129837137
1216a11ba0
13b86a979
147686dba
154e14a50
hex35a7668

56260200 has 96 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 14630400.

The previous prime is 56260199. The next prime is 56260201. The reversal of 56260200 is 206265.

It is an interprime number because it is at equal distance from previous prime (56260199) and next prime (56260201).

It is not an unprimeable number, because it can be changed into a prime (56260201) 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, 23457 + ... + 25743.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 256260200 is an apocalyptic number.

56260200 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 56260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

56260200 is an abundant number, since it is smaller than the sum of its proper divisors (122478360).

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

56260200 is a wasteful number, since it uses less digits than its factorization.

56260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56260200 is about 7500.6799691761. The cubic root of 56260200 is about 383.1778743710.

Adding to 56260200 its reverse (206265), we get a palindrome (56466465).

The spelling of 56260200 in words is "fifty-six million, two hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2287 2460 3075 4100 4574 4920 6150 6861 8200 9148 11435 12300 13722 18296 22870 24600 27444 34305 45740 54888 57175 68610 91480 93767 114350 137220 171525 187534 228700 274440 281301 343050 375068 457400 468835 562602 686100 750136 937670 1125204 1372200 1406505 1875340 2250408 2344175 2813010 3750680 4688350 5626020 7032525 9376700 11252040 14065050 18753400 28130100 56260200