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49955712 = 2731941167
BaseRepresentation
bin1011111010010…
…0001110000000
310111000000100120
42332210032000
5100242040322
64542420240
71144421322
oct276441600
9114000316
1049955712
1126220514
1214891680
13a4711c1
1468c5612
1545bba5c
hex2fa4380

49955712 has 128 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 15298560.

The previous prime is 49955699. The next prime is 49955749. The reversal of 49955712 is 21755994.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×499557122 = 4991146322853888, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 299053 + ... + 299219.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 249955712 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 49955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

49955712 is an abundant number, since it is smaller than the sum of its proper divisors (93986688).

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

49955712 is a wasteful number, since it uses less digits than its factorization.

49955712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 49955712 is about 7067.9354835765. The cubic root of 49955712 is about 368.2943454748.

The spelling of 49955712 in words is "forty-nine million, nine hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 167 192 228 246 304 328 334 384 456 492 501 608 656 668 779 912 984 1002 1216 1312 1336 1558 1824 1968 2004 2337 2432 2624 2672 3116 3173 3648 3936 4008 4674 5248 5344 6232 6346 6847 7296 7872 8016 9348 9519 10688 12464 12692 13694 15744 16032 18696 19038 20541 21376 24928 25384 27388 32064 37392 38076 41082 49856 50768 54776 64128 74784 76152 82164 99712 101536 109552 130093 149568 152304 164328 203072 219104 260186 299136 304608 328656 390279 406144 438208 520372 609216 657312 780558 876416 1040744 1218432 1314624 1561116 2081488 2629248 3122232 4162976 6244464 8325952 12488928 16651904 24977856 49955712