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53334632 = 23133171233
BaseRepresentation
bin1100101101110…
…1001001101000
310201100200100202
43023131021220
5102123202012
65143051332
71215223361
oct313351150
9121320322
1053334632
112811910a
1215a40b48
13b085170
147124b68
154a37cc2
hex32dd268

53334632 has 64 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 23385600.

The previous prime is 53334607. The next prime is 53334637. The reversal of 53334632 is 23643335.

53334632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53334595 and 53334604.

It is not an unprimeable number, because it can be changed into a prime (53334637) 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 15 ways as a sum of consecutive naturals, for example, 228788 + ... + 229020.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 253334632 is an apocalyptic number.

53334632 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 53334632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

53334632 is an abundant number, since it is smaller than the sum of its proper divisors (59883928).

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

53334632 is a wasteful number, since it uses less digits than its factorization.

53334632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its digits is 19440, while the sum is 29.

The square root of 53334632 is about 7303.0563464895. The cubic root of 53334632 is about 376.4174667579.

Adding to 53334632 its reverse (23643335), we get a palindrome (76977967).

The spelling of 53334632 in words is "fifty-three million, three hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 31 52 62 71 104 124 142 233 248 284 403 466 568 806 923 932 1612 1846 1864 2201 3029 3224 3692 4402 6058 7223 7384 8804 12116 14446 16543 17608 24232 28613 28892 33086 57226 57784 66172 93899 114452 132344 187798 215059 228904 375596 430118 512833 751192 860236 1025666 1720472 2051332 4102664 6666829 13333658 26667316 53334632