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50682112 = 281397157
BaseRepresentation
bin1100000101010…
…1100100000000
310112100220210021
43001111210000
5100433311422
65010143224
71153535155
oct301254400
9115326707
1050682112
1126677248
1214b81b14
13a666a20
146a3422c
1546b1dc7
hex3055900

50682112 has 72 divisors (see below), whose sum is σ = 110772536. Its totient is φ = 23003136.

The previous prime is 50682097. The next prime is 50682127. The reversal of 50682112 is 21128605.

It is an interprime number because it is at equal distance from previous prime (50682097) and next prime (50682127).

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 50466816 = 464^2 + 7104^2 .

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, 322738 + ... + 322894.

Almost surely, 250682112 is an apocalyptic number.

50682112 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 50682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55386268).

50682112 is an abundant number, since it is smaller than the sum of its proper divisors (60090424).

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

50682112 is a wasteful number, since it uses less digits than its factorization.

50682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 50682112 is about 7119.1370263537. The cubic root of 50682112 is about 370.0708702814.

It can be divided in two parts, 50 and 682112, that multiplied together give a square (34105600 = 58402).

The spelling of 50682112 in words is "fifty million, six hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 157 194 208 256 314 388 416 628 776 832 1256 1261 1552 1664 2041 2512 2522 3104 3328 4082 5024 5044 6208 8164 10048 10088 12416 15229 16328 20096 20176 24832 30458 32656 40192 40352 60916 65312 80704 121832 130624 161408 197977 243664 261248 322816 395954 487328 522496 791908 974656 1583816 1949312 3167632 3898624 6335264 12670528 25341056 50682112