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50575104 = 2836271
BaseRepresentation
bin1100000011101…
…1011100000000
310112011111000000
43000323130000
5100421400404
65004000000
71152611166
oct300733400
9115144000
1050575104
1126603908
1214b30000
13a62a0c8
146a07236
154690339
hex303b700

50575104 has 126 divisors (see below), whose sum is σ = 151918256. Its totient is φ = 16796160.

The previous prime is 50575103. The next prime is 50575117. The reversal of 50575104 is 40157505.

It is a super-2 number, since 2×505751042 = 5115682289221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50575103) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186489 + ... + 186759.

Almost surely, 250575104 is an apocalyptic number.

50575104 is a gapful number since it is divisible by the number (54) 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 50575104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75959128).

50575104 is an abundant number, since it is smaller than the sum of its proper divisors (101343152).

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

50575104 is an frugal number, since it uses more digits than its factorization.

50575104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 50575104 is about 7111.6175375227. The cubic root of 50575104 is about 369.8102362684.

The spelling of 50575104 in words is "fifty million, five hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 271 288 324 384 432 486 542 576 648 729 768 813 864 972 1084 1152 1296 1458 1626 1728 1944 2168 2304 2439 2592 2916 3252 3456 3888 4336 4878 5184 5832 6504 6912 7317 7776 8672 9756 10368 11664 13008 14634 15552 17344 19512 20736 21951 23328 26016 29268 31104 34688 39024 43902 46656 52032 58536 62208 65853 69376 78048 87804 93312 104064 117072 131706 156096 175608 186624 197559 208128 234144 263412 312192 351216 395118 468288 526824 624384 702432 790236 936576 1053648 1404864 1580472 1873152 2107296 2809728 3160944 4214592 5619456 6321888 8429184 12643776 16858368 25287552 50575104