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49944192 = 2731131151
BaseRepresentation
bin1011111010000…
…1011010000000
310110222102112220
42332201122000
5100241203232
64542251040
71144342614
oct276413200
9113872486
1049944192
11262128a1
1214886a80
13a468b9c
1468c1344
1545b842c
hex2fa1680

49944192 has 64 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 16486400.

The previous prime is 49944163. The next prime is 49944203. The reversal of 49944192 is 29144994.

It is a tau number, because it is divible by the number of its divisors (64).

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, 42817 + ... + 43967.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 249944192 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 49944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

49944192 is an abundant number, since it is smaller than the sum of its proper divisors (84010368).

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

49944192 is a wasteful number, since it uses less digits than its factorization.

49944192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1269 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 49944192 is about 7067.1204885724. The cubic root of 49944192 is about 368.2660332168.

The spelling of 49944192 in words is "forty-nine million, nine hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1151 1356 1808 2302 2712 3453 3616 4604 5424 6906 7232 9208 10848 13812 14464 18416 21696 27624 36832 43392 55248 73664 110496 130063 147328 220992 260126 390189 441984 520252 780378 1040504 1560756 2081008 3121512 4162016 6243024 8324032 12486048 16648064 24972096 49944192