Search a number
-
+
53306500 = 22531359139
BaseRepresentation
bin1100101101011…
…0010010000100
310201022020202211
43023112102010
5102121302000
65142313204
71215045352
oct313262204
9121266684
1053306500
11280a9a65
1215a28804
13b075410
1471187d2
154a2e7ba
hex32d6484

53306500 has 96 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 19209600.

The previous prime is 53306471. The next prime is 53306503. The reversal of 53306500 is 560335.

It is a super-3 number, since 3×533065003 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53306503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383431 + ... + 383569.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 253306500 is an apocalyptic number.

53306500 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 53306500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64209600).

53306500 is an abundant number, since it is smaller than the sum of its proper divisors (75112700).

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

53306500 is a wasteful number, since it uses less digits than its factorization.

53306500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 53306500 is about 7301.1300495197. The cubic root of 53306500 is about 376.3512731288.

Adding to 53306500 its reverse (560335), we get a palindrome (53866835).

The spelling of 53306500 in words is "fifty-three million, three hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 125 130 139 236 250 260 278 295 325 500 556 590 650 695 767 1180 1300 1390 1475 1534 1625 1807 2780 2950 3068 3250 3475 3614 3835 5900 6500 6950 7228 7375 7670 8201 9035 13900 14750 15340 16402 17375 18070 19175 29500 32804 34750 36140 38350 41005 45175 69500 76700 82010 90350 95875 106613 164020 180700 191750 205025 213226 225875 383500 410050 426452 451750 533065 820100 903500 1025125 1066130 2050250 2132260 2665325 4100500 5330650 10661300 13326625 26653250 53306500