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52536416 = 2523411741
BaseRepresentation
bin1100100001101…
…0010001100000
310122212010102012
43020122101200
5101422131131
65114012052
71205360252
oct310322140
9118763365
1052536416
1127723429
1215717028
13ab65a4a
146d97cd2
15492b52b
hex321a460

52536416 has 48 divisors (see below), whose sum is σ = 110623968. Its totient is φ = 24499200.

The previous prime is 52536397. The next prime is 52536431. The reversal of 52536416 is 61463525.

It is a super-2 number, since 2×525364162 = 5520150012250112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29306 + ... + 31046.

It is an arithmetic number, because the mean of its divisors is an integer number (2304666).

Almost surely, 252536416 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 52536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55311984).

52536416 is an abundant number, since it is smaller than the sum of its proper divisors (58087552).

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

52536416 is a wasteful number, since it uses less digits than its factorization.

52536416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1807 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 52536416 is about 7248.2008802185. The cubic root of 52536416 is about 374.5301754708.

The spelling of 52536416 in words is "fifty-two million, five hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1741 1886 3482 3772 6964 7544 13928 15088 27856 30176 40043 55712 71381 80086 142762 160172 285524 320344 571048 640688 1142096 1281376 1641763 2284192 3283526 6567052 13134104 26268208 52536416