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48990144 = 263736451
BaseRepresentation
bin1011101011100…
…0011111000000
310102011221211210
42322320133000
5100020141034
64510010120
71133260260
oct272703700
9112157753
1048990144
1125721025
12144a6940
13a1c3868
1467137a0
15447a8e9
hex2eb87c0

48990144 has 56 divisors (see below), whose sum is σ = 148140928. Its totient is φ = 13996800.

The previous prime is 48990143. The next prime is 48990167. The reversal of 48990144 is 44109984.

48990144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48990143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16882 + ... + 19569.

Almost surely, 248990144 is an apocalyptic number.

It is an amenable number.

48990144 is an abundant number, since it is smaller than the sum of its proper divisors (99150784).

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

48990144 is a wasteful number, since it uses less digits than its factorization.

48990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36473 (or 36463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 48990144 is about 6999.2959645953. The cubic root of 48990144 is about 365.9060345836.

The spelling of 48990144 in words is "forty-eight million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 36451 72902 109353 145804 218706 255157 291608 437412 510314 583216 765471 874824 1020628 1166432 1530942 1749648 2041256 2332864 3061884 3499296 4082512 6123768 6998592 8165024 12247536 16330048 24495072 48990144