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52345332 = 223313231621
BaseRepresentation
bin1100011110101…
…1100111110100
310122111102022000
43013223213310
5101400022312
65105535300
71203633204
oct307534764
9118442260
1052345332
1127602906
1215644530
13aac9a90
146d48404
1548deadc
hex31eb9f4

52345332 has 96 divisors (see below), whose sum is σ = 152597760. Its totient is φ = 15396480.

The previous prime is 52345327. The next prime is 52345351. The reversal of 52345332 is 23354325.

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

It is a junction number, because it is equal to n+sod(n) for n = 52345296 and 52345305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31482 + ... + 33102.

It is an arithmetic number, because the mean of its divisors is an integer number (1589560).

Almost surely, 252345332 is an apocalyptic number.

52345332 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 52345332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76298880).

52345332 is an abundant number, since it is smaller than the sum of its proper divisors (100252428).

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

52345332 is a wasteful number, since it uses less digits than its factorization.

52345332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 52345332 is about 7235.0073946058. The cubic root of 52345332 is about 374.0755469033.

Adding to 52345332 its reverse (23354325), we get a palindrome (75699657).

The spelling of 52345332 in words is "fifty-two million, three hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1621 1794 2484 2691 3242 3588 4863 5382 6484 8073 9726 10764 14589 16146 19452 21073 29178 32292 37283 42146 43767 58356 63219 74566 84292 87534 111849 126438 149132 175068 189657 223698 252876 335547 379314 447396 484679 568971 671094 758628 969358 1006641 1137942 1342188 1454037 1938716 2013282 2275884 2908074 4026564 4362111 5816148 8724222 13086333 17448444 26172666 52345332