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49943328 = 2534711069
BaseRepresentation
bin1011111010000…
…1001100100000
310110222101100220
42332201030200
5100241141303
64542243040
71144340241
oct276411440
9113871326
1049943328
1126212186
1214886480
13a468686
1468c0cc8
1545b8053
hex2fa1320

49943328 has 48 divisors (see below), whose sum is σ = 133902720. Its totient is φ = 16292096.

The previous prime is 49943293. The next prime is 49943351. The reversal of 49943328 is 82334994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49943328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 249943328 is an apocalyptic number.

49943328 is a gapful number since it is divisible by the number (48) 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 49943328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66951360).

49943328 is an abundant number, since it is smaller than the sum of its proper divisors (83959392).

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

49943328 is a wasteful number, since it uses less digits than its factorization.

49943328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11121 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 49943328 is about 7067.0593601582. The cubic root of 49943328 is about 368.2639096219.

The spelling of 49943328 in words is "forty-nine million, nine hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 11069 22138 33207 44276 66414 88552 132828 177104 265656 354208 520243 531312 1040486 1062624 1560729 2080972 3121458 4161944 6242916 8323888 12485832 16647776 24971664 49943328