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52584448 = 21372131
BaseRepresentation
bin1100100010011…
…0000000000000
310122221120022011
43020212000000
5101430200243
65115022304
71205650300
oct310460000
9118846264
1052584448
1127756524
121573a994
13ab81877
146dab600
15493a89d
hex3226000

52584448 has 84 divisors (see below), whose sum is σ = 123265692. Its totient is φ = 22364160.

The previous prime is 52584443. The next prime is 52584449. The reversal of 52584448 is 84448525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52584448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52584443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401343 + ... + 401473.

Almost surely, 252584448 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 52584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61632846).

52584448 is an abundant number, since it is smaller than the sum of its proper divisors (70681244).

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

52584448 is an equidigital number, since it uses as much as digits as its factorization.

52584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

The square root of 52584448 is about 7251.5134971949. The cubic root of 52584448 is about 374.6442801572.

The spelling of 52584448 in words is "fifty-two million, five hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 256 262 392 448 512 524 784 896 917 1024 1048 1568 1792 1834 2048 2096 3136 3584 3668 4096 4192 6272 6419 7168 7336 8192 8384 12544 12838 14336 14672 16768 25088 25676 28672 29344 33536 50176 51352 57344 58688 67072 100352 102704 117376 134144 200704 205408 234752 268288 401408 410816 469504 536576 821632 939008 1073152 1643264 1878016 3286528 3756032 6573056 7512064 13146112 26292224 52584448