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52205157 = 325800573
BaseRepresentation
bin1100011100100…
…1011001100101
310122020022000100
43013021121211
5101331031112
65102534313
71202510424
oct307113145
9118208010
1052205157
1127517564
1215597399
13aa7b034
146d0d2bb
1548b32dc
hex31c9665

52205157 has 6 divisors (see below), whose sum is σ = 75407462. Its totient is φ = 34803432.

The previous prime is 52205137. The next prime is 52205161. The reversal of 52205157 is 75150225.

It is a happy number.

52205157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46049796 + 6155361 = 6786^2 + 2481^2 .

It is not a de Polignac number, because 52205157 - 216 = 52139621 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52205157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52205107) 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 5 ways as a sum of consecutive naturals, for example, 2900278 + ... + 2900295.

Almost surely, 252205157 is an apocalyptic number.

It is an amenable number.

52205157 is a deficient number, since it is larger than the sum of its proper divisors (23202305).

52205157 is a wasteful number, since it uses less digits than its factorization.

52205157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800579 (or 5800576 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 52205157 is about 7225.3136264110. The cubic root of 52205157 is about 373.7413374427.

It can be divided in two parts, 52 and 205157, that added together give a square (205209 = 4532).

The spelling of 52205157 in words is "fifty-two million, two hundred five thousand, one hundred fifty-seven".

Divisors: 1 3 9 5800573 17401719 52205157