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49112064 = 21032732
BaseRepresentation
bin1011101101011…
…0010000000000
310102102011002100
42323112100000
5100033041224
64512350400
71134305601
oct273262000
9112364070
1049112064
11257a4691
1214545400
13a2371c1
146745da8
1544a1ac9
hex2ed6400

49112064 has 99 divisors (see below), whose sum is σ = 143779233. Its totient is φ = 16146432.

The previous prime is 49112059. The next prime is 49112071. The reversal of 49112064 is 46021194.

The square root of 49112064 is 7008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 21233664 = 5280^2 + 4608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 672732 + ... + 672804.

Almost surely, 249112064 is an apocalyptic number.

49112064 is the 7008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49112064

49112064 is an abundant number, since it is smaller than the sum of its proper divisors (94667169).

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

49112064 is an equidigital number, since it uses as much as digits as its factorization.

49112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 49112064 is about 366.2093221683.

The spelling of 49112064 in words is "forty-nine million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 2304 2336 2628 3072 3504 4608 4672 5256 5329 7008 9216 9344 10512 10658 14016 15987 18688 21024 21316 28032 31974 37376 42048 42632 47961 56064 63948 74752 84096 85264 95922 112128 127896 168192 170528 191844 224256 255792 336384 341056 383688 511584 672768 682112 767376 1023168 1364224 1534752 2046336 2728448 3069504 4092672 5456896 6139008 8185344 12278016 16370688 24556032 49112064