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53061400 = 23527151251
BaseRepresentation
bin1100101001101…
…0011100011000
310200211210120001
43022122130120
5102040431100
65133142344
71213004650
oct312323430
9120753501
1053061400
1127a518a7
121592a9b4
13acba9a2
147093360
1549d1d6a
hex329a718

53061400 has 96 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 18000000.

The previous prime is 53061397. The next prime is 53061401. The reversal of 53061400 is 416035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53061401) 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, 211275 + ... + 211525.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 253061400 is an apocalyptic number.

53061400 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 53061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

53061400 is an abundant number, since it is smaller than the sum of its proper divisors (89429480).

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

53061400 is a wasteful number, since it uses less digits than its factorization.

53061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 53061400 is about 7284.3256379709. The cubic root of 53061400 is about 375.7735734972.

Adding to 53061400 its reverse (416035), we get a palindrome (53477435).

The spelling of 53061400 in words is "fifty-three million, sixty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 151 175 200 251 280 302 350 502 604 700 755 1004 1057 1208 1255 1400 1510 1757 2008 2114 2510 3020 3514 3775 4228 5020 5285 6040 6275 7028 7550 8456 8785 10040 10570 12550 14056 15100 17570 21140 25100 26425 30200 35140 37901 42280 43925 50200 52850 70280 75802 87850 105700 151604 175700 189505 211400 265307 303208 351400 379010 530614 758020 947525 1061228 1326535 1516040 1895050 2122456 2653070 3790100 5306140 6632675 7580200 10612280 13265350 26530700 53061400