Search a number
-
+
52506414 = 2332933529
BaseRepresentation
bin1100100001001…
…0111100101110
310122210121021000
43020102330232
5101420201124
65113221130
71205203632
oct310227456
9118717230
1052506414
1127702934
12157017a6
13ab551ac
146d8adc2
1549226c9
hex3212f2e

52506414 has 32 divisors (see below), whose sum is σ = 120708000. Its totient is φ = 16898112.

The previous prime is 52506407. The next prime is 52506427. The reversal of 52506414 is 41460525.

52506414 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 2×525064142 = 5513847022278792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 15199 + ... + 18330.

It is an arithmetic number, because the mean of its divisors is an integer number (3772125).

Almost surely, 252506414 is an apocalyptic number.

52506414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52506414 is an abundant number, since it is smaller than the sum of its proper divisors (68201586).

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

52506414 is a wasteful number, since it uses less digits than its factorization.

52506414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33569 (or 33563 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52506414 is about 7246.1309676268. The cubic root of 52506414 is about 374.4588675106.

Adding to 52506414 its reverse (41460525), we get a palindrome (93966939).

It can be divided in two parts, 5250 and 6414, that added together give a square (11664 = 1082).

The spelling of 52506414 in words is "fifty-two million, five hundred six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 33529 67058 100587 201174 301761 603522 905283 972341 1810566 1944682 2917023 5834046 8751069 17502138 26253207 52506414