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52552638 = 235711523
BaseRepresentation
bin1100100001111…
…0001110111110
310122212221200000
43020132032332
5101423141023
65114215130
71205455455
oct310361676
9118787600
1052552638
1127734636
12157244a6
13ab70248
146d9db9c
154931243
hex321e3be

52552638 has 48 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 17259480.

The previous prime is 52552637. The next prime is 52552639. The reversal of 52552638 is 83625525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52552637) and next prime (52552639).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52552637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33745 + ... + 35267.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 252552638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52552638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

52552638 is an abundant number, since it is smaller than the sum of its proper divisors (67270338).

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

52552638 is a wasteful number, since it uses less digits than its factorization.

52552638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52552638 is about 7249.3198301634. The cubic root of 52552638 is about 374.5687201841.

The spelling of 52552638 in words is "fifty-two million, five hundred fifty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 1278 1523 1917 3046 3834 4569 5751 9138 11502 13707 17253 27414 34506 41121 82242 108133 123363 216266 246726 324399 370089 648798 740178 973197 1946394 2919591 5839182 8758773 17517546 26276319 52552638