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50532352 = 21213273
BaseRepresentation
bin1100000011000…
…1000000000000
310112002022100121
43000301000000
5100414013402
65003030024
71152342433
oct300610000
9115068317
1050532352
1126584782
1214b0b314
13a613800
1469d581a
154682837
hex3031000

50532352 has 78 divisors (see below), whose sum is σ = 110922522. Its totient is φ = 23003136.

The previous prime is 50532337. The next prime is 50532389. The reversal of 50532352 is 25323505.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 50466816 = 256^2 + 7104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 692188 + ... + 692260.

Almost surely, 250532352 is an apocalyptic number.

50532352 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 50532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55461261).

50532352 is an abundant number, since it is smaller than the sum of its proper divisors (60390170).

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

50532352 is an equidigital number, since it uses as much as digits as its factorization.

50532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 50532352 is about 7108.6111161042. The cubic root of 50532352 is about 369.7060045884.

Adding to 50532352 its reverse (25323505), we get a palindrome (75855857).

The spelling of 50532352 in words is "fifty million, five hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 169 208 256 292 338 416 512 584 676 832 949 1024 1168 1352 1664 1898 2048 2336 2704 3328 3796 4096 4672 5408 6656 7592 9344 10816 12337 13312 15184 18688 21632 24674 26624 30368 37376 43264 49348 53248 60736 74752 86528 98696 121472 149504 173056 197392 242944 299008 346112 394784 485888 692224 789568 971776 1579136 1943552 3158272 3887104 6316544 12633088 25266176 50532352