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49148064 = 2532724379
BaseRepresentation
bin1011101101111…
…1000010100000
310102110222110200
42323133002200
5100040214224
64513225200
71134515550
oct273370240
9112428420
1049148064
1125819739
1214562200
13a24a6c4
146755160
1544ac5c9
hex2edf0a0

49148064 has 72 divisors (see below), whose sum is σ = 159737760. Its totient is φ = 14041728.

The previous prime is 49148063. The next prime is 49148081. The reversal of 49148064 is 46084194.

It is a happy number.

49148064 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49148063) 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 11 ways as a sum of consecutive naturals, for example, 10174 + ... + 14205.

It is an arithmetic number, because the mean of its divisors is an integer number (2218580).

Almost surely, 249148064 is an apocalyptic number.

It is an amenable number.

49148064 is an abundant number, since it is smaller than the sum of its proper divisors (110589696).

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

49148064 is a wasteful number, since it uses less digits than its factorization.

49148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24402 (or 24391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49148064 is about 7010.5680226355. The cubic root of 49148064 is about 366.2987795886.

The spelling of 49148064 in words is "forty-nine million, one hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 24379 48758 73137 97516 146274 170653 195032 219411 292548 341306 390064 438822 511959 585096 682612 780128 877644 1023918 1170192 1365224 1535877 1755288 2047836 2340384 2730448 3071754 3510576 4095672 5460896 6143508 7021152 8191344 12287016 16382688 24574032 49148064