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52150400 = 275243379
BaseRepresentation
bin1100011011110…
…0000010000000
310122010111220022
43012330002000
5101322303100
65101433012
71202161661
oct306740200
9118114808
1052150400
112748a405
121556b768
13aa5c133
146cd7368
1548a1e85
hex31bc080

52150400 has 96 divisors (see below), whose sum is σ = 132171600. Its totient is φ = 20321280.

The previous prime is 52150393. The next prime is 52150411. The reversal of 52150400 is 405125.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137411 + ... + 137789.

Almost surely, 252150400 is an apocalyptic number.

52150400 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 52150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66085800).

52150400 is an abundant number, since it is smaller than the sum of its proper divisors (80021200).

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

52150400 is a wasteful number, since it uses less digits than its factorization.

52150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 52150400 is about 7221.5233849929. The cubic root of 52150400 is about 373.6106216612.

Adding to 52150400 its reverse (405125), we get a palindrome (52555525).

The spelling of 52150400 in words is "fifty-two million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 320 344 379 400 430 640 688 758 800 860 1075 1376 1516 1600 1720 1895 2150 2752 3032 3200 3440 3790 4300 5504 6064 6880 7580 8600 9475 12128 13760 15160 16297 17200 18950 24256 27520 30320 32594 34400 37900 48512 60640 65188 68800 75800 81485 121280 130376 137600 151600 162970 242560 260752 303200 325940 407425 521504 606400 651880 814850 1043008 1212800 1303760 1629700 2086016 2607520 3259400 5215040 6518800 10430080 13037600 26075200 52150400