Search a number
-
+
52553900 = 22527193389
BaseRepresentation
bin1100100001111…
…0100010101100
310122220000101202
43020132202230
5101423211100
65114225032
71205462240
oct310364254
9118800352
1052553900
1127735583
1215725178
13ab709a9
146da0420
1549317d5
hex321e8ac

52553900 has 72 divisors (see below), whose sum is σ = 131345760. Its totient is φ = 17879040.

The previous prime is 52553861. The next prime is 52553903. The reversal of 52553900 is 935525.

It is not an unprimeable number, because it can be changed into a prime (52553903) 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, 134906 + ... + 135294.

Almost surely, 252553900 is an apocalyptic number.

52553900 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 52553900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672880).

52553900 is an abundant number, since it is smaller than the sum of its proper divisors (78791860).

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

52553900 is a wasteful number, since it uses less digits than its factorization.

52553900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 52553900 is about 7249.4068722896. The cubic root of 52553900 is about 374.5717184601.

The spelling of 52553900 in words is "fifty-two million, five hundred fifty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 193 350 386 389 700 772 778 965 1351 1556 1930 1945 2702 2723 3860 3890 4825 5404 5446 6755 7780 9650 9725 10892 13510 13615 19300 19450 27020 27230 33775 38900 54460 67550 68075 75077 135100 136150 150154 272300 300308 375385 525539 750770 1051078 1501540 1876925 2102156 2627695 3753850 5255390 7507700 10510780 13138475 26276950 52553900