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53212432 = 24721323227
BaseRepresentation
bin1100101011111…
…1010100010000
310201010110201211
43022333110100
5102110244212
65140305504
71214204200
oct312772420
9121113654
1053212432
1128045319
12159a2294
13b041660
1470d2400
154a119a7
hex32bf510

53212432 has 120 divisors (see below), whose sum is σ = 135366336. Its totient is φ = 20047104.

The previous prime is 53212429. The next prime is 53212433. The reversal of 53212432 is 23421235.

53212432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53212433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234303 + ... + 234529.

Almost surely, 253212432 is an apocalyptic number.

53212432 is a gapful number since it is divisible by the number (52) 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 53212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67683168).

53212432 is an abundant number, since it is smaller than the sum of its proper divisors (82153904).

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

53212432 is a wasteful number, since it uses less digits than its factorization.

53212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 53212432 is about 7294.6851885465. The cubic root of 53212432 is about 376.1297650791.

Adding to 53212432 its reverse (23421235), we get a palindrome (76633667).

The spelling of 53212432 in words is "fifty-three million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 49 52 56 91 92 98 104 112 161 182 184 196 208 227 299 322 364 368 392 454 598 637 644 728 784 908 1127 1196 1274 1288 1456 1589 1816 2093 2254 2392 2548 2576 2951 3178 3632 4186 4508 4784 5096 5221 5902 6356 8372 9016 10192 10442 11123 11804 12712 14651 16744 18032 20657 20884 22246 23608 25424 29302 33488 36547 41314 41768 44492 47216 58604 67873 73094 82628 83536 88984 117208 135746 144599 146188 165256 177968 234416 255829 271492 289198 292376 330512 475111 511658 542984 578396 584752 950222 1023316 1085968 1156792 1900444 2046632 2313584 3325777 3800888 4093264 6651554 7601776 13303108 26606216 53212432