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53306764 = 22717532113
BaseRepresentation
bin1100101101011…
…0010110001100
310201022021010121
43023112112030
5102121304024
65142314324
71215046210
oct313262614
9121267117
1053306764
11280aa185
1215a289a4
13b075584
147118940
154a2e8e4
hex32d658c

53306764 has 48 divisors (see below), whose sum is σ = 115069248. Its totient is φ = 21086208.

The previous prime is 53306753. The next prime is 53306767. The reversal of 53306764 is 46760335.

53306764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×533067642 = 5683222176303392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (53306767) 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, 24172 + ... + 26284.

It is an arithmetic number, because the mean of its divisors is an integer number (2397276).

Almost surely, 253306764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53306764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57534624).

53306764 is an abundant number, since it is smaller than the sum of its proper divisors (61762484).

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

53306764 is a wasteful number, since it uses less digits than its factorization.

53306764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 53306764 is about 7301.1481288904. The cubic root of 53306764 is about 376.3518944199.

The spelling of 53306764 in words is "fifty-three million, three hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 212 238 371 476 742 901 1484 1802 2113 3604 4226 6307 8452 12614 14791 25228 29582 35921 59164 71842 111989 143684 223978 251447 447956 502894 783923 1005788 1567846 1903813 3135692 3807626 7615252 13326691 26653382 53306764