Search a number
-
+
53212000 = 255353251
BaseRepresentation
bin1100101011111…
…1001101100000
310201010110010211
43022333031200
5102110241000
65140303504
71214203012
oct312771540
9121113124
1053212000
1128044a66
12159a1b94
13b0413ba
1470d21b2
154a117ba
hex32bf360

53212000 has 96 divisors (see below), whose sum is σ = 133739424. Its totient is φ = 20800000.

The previous prime is 53211971. The next prime is 53212007. The reversal of 53212000 is 21235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53212007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211875 + ... + 212125.

It is an arithmetic number, because the mean of its divisors is an integer number (1393119).

Almost surely, 253212000 is an apocalyptic number.

53212000 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 53212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869712).

53212000 is an abundant number, since it is smaller than the sum of its proper divisors (80527424).

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

53212000 is a wasteful number, since it uses less digits than its factorization.

53212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 53212000 is about 7294.6555778871. The cubic root of 53212000 is about 376.1287472186.

Adding to 53212000 its reverse (21235), we get a palindrome (53233235).

The spelling of 53212000 in words is "fifty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 251 265 400 424 500 502 530 800 848 1000 1004 1060 1255 1325 1696 2000 2008 2120 2510 2650 4000 4016 4240 5020 5300 6275 6625 8032 8480 10040 10600 12550 13250 13303 20080 21200 25100 26500 26606 31375 40160 42400 50200 53000 53212 62750 66515 100400 106000 106424 125500 133030 200800 212000 212848 251000 266060 332575 425696 502000 532120 665150 1004000 1064240 1330300 1662875 2128480 2660600 3325750 5321200 6651500 10642400 13303000 26606000 53212000