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50601216 = 283411607
BaseRepresentation
bin1100000100000…
…1110100000000
310112012210211010
43001001310000
5100423214331
65004320520
71153050261
oct301016400
9115183733
1050601216
1126621496
1214b43140
13a638c63
146a12968
154697e46
hex3041d00

50601216 has 72 divisors (see below), whose sum is σ = 138043584. Its totient is φ = 16445440.

The previous prime is 50601211. The next prime is 50601227. The reversal of 50601216 is 61210605.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 50601192 and 50601201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50601211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30685 + ... + 32291.

It is an arithmetic number, because the mean of its divisors is an integer number (1917272).

Almost surely, 250601216 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 50601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69021792).

50601216 is an abundant number, since it is smaller than the sum of its proper divisors (87442368).

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

50601216 is a wasteful number, since it uses less digits than its factorization.

50601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 50601216 is about 7113.4531698747. The cubic root of 50601216 is about 369.8738698398.

The spelling of 50601216 in words is "fifty million, six hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1607 1968 2624 3214 3936 4821 5248 6428 7872 9642 10496 12856 15744 19284 25712 31488 38568 51424 65887 77136 102848 131774 154272 197661 205696 263548 308544 395322 411392 527096 617088 790644 1054192 1234176 1581288 2108384 3162576 4216768 6325152 8433536 12650304 16867072 25300608 50601216