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52141400 = 2352534919
BaseRepresentation
bin1100011011100…
…1110101011000
310122010001112222
43012321311120
5101322011100
65101323212
71202123513
oct306716530
9118101488
1052141400
1127483673
1215566508
13aa57ccc
146cd3d7a
15489e485
hex31b9d58

52141400 has 48 divisors (see below), whose sum is σ = 123541200. Its totient is φ = 20458880.

The previous prime is 52141393. The next prime is 52141409. The reversal of 52141400 is 414125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52141409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8141 + ... + 13059.

It is an arithmetic number, because the mean of its divisors is an integer number (2573775).

Almost surely, 252141400 is an apocalyptic number.

52141400 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 52141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61770600).

52141400 is an abundant number, since it is smaller than the sum of its proper divisors (71399800).

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

52141400 is a wasteful number, since it uses less digits than its factorization.

52141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 52141400 is about 7220.9002208866. The cubic root of 52141400 is about 373.5891281281.

Adding to 52141400 its reverse (414125), we get a palindrome (52555525).

The spelling of 52141400 in words is "fifty-two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 4919 5300 9838 10600 19676 24595 39352 49190 98380 122975 196760 245950 260707 491900 521414 983800 1042828 1303535 2085656 2607070 5214140 6517675 10428280 13035350 26070700 52141400