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5296900 = 2252722347
BaseRepresentation
bin10100001101001100000100
3100222002222111
4110031030010
52324000100
6305310404
763010600
oct24151404
910862874
105296900
112a98704
121935404
131135c7b
149bc500
156e96ba
hex50d304

5296900 has 108 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1700160.

The previous prime is 5296897. The next prime is 5296903. The reversal of 5296900 is 96925.

It is an interprime number because it is at equal distance from previous prime (5296897) and next prime (5296903).

It is a super-2 number, since 2×52969002 = 56114299220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5296903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112677 + ... + 112723.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

Almost surely, 25296900 is an apocalyptic number.

5296900 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 5296900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

5296900 is an abundant number, since it is smaller than the sum of its proper divisors (8952188).

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

5296900 is a wasteful number, since it uses less digits than its factorization.

5296900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 5296900 is about 2301.4995111883. The cubic root of 5296900 is about 174.3173404682.

The spelling of 5296900 in words is "five million, two hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 47 49 50 70 92 94 98 100 115 140 161 175 188 196 230 235 245 322 329 350 460 470 490 575 644 658 700 805 940 980 1081 1127 1150 1175 1225 1316 1610 1645 2162 2254 2300 2303 2350 2450 3220 3290 4025 4324 4508 4606 4700 4900 5405 5635 6580 7567 8050 8225 9212 10810 11270 11515 15134 16100 16450 21620 22540 23030 27025 28175 30268 32900 37835 46060 52969 54050 56350 57575 75670 105938 108100 112700 115150 151340 189175 211876 230300 264845 378350 529690 756700 1059380 1324225 2648450 5296900