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49016832 = 21233989
BaseRepresentation
bin1011101011111…
…1000000000000
310102020022110020
42322333000000
5100022014312
64510333440
71133431134
oct272770000
9112208406
1049016832
112573a087
12144ba280
13a202a57
14671d3c4
15448378c
hex2ebf000

49016832 has 52 divisors (see below), whose sum is σ = 130728360. Its totient is φ = 16334848.

The previous prime is 49016809. The next prime is 49016837. The reversal of 49016832 is 23861094.

It is a junction number, because it is equal to n+sod(n) for n = 49016793 and 49016802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49016837) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10294 + ... + 14282.

Almost surely, 249016832 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 49016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65364180).

49016832 is an abundant number, since it is smaller than the sum of its proper divisors (81711528).

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

49016832 is an equidigital number, since it uses as much as digits as its factorization.

49016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49016832 is about 7001.2021824827. The cubic root of 49016832 is about 365.9724665005.

The spelling of 49016832 in words is "forty-nine million, sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3989 4096 6144 7978 11967 12288 15956 23934 31912 47868 63824 95736 127648 191472 255296 382944 510592 765888 1021184 1531776 2042368 3063552 4084736 6127104 8169472 12254208 16338944 24508416 49016832