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48943632 = 24323431031
BaseRepresentation
bin1011101010110…
…1001000010000
310102002121001010
42322231020100
5100012144012
64505010520
71133004543
oct272551020
9112077033
1048943632
112569a091
1214483a40
13a1a863a
14670085a
15446bc3c
hex2ead210

48943632 has 80 divisors (see below), whose sum is σ = 135134208. Its totient is φ = 15227520.

The previous prime is 48943621. The next prime is 48943633. The reversal of 48943632 is 23634984.

It is a super-2 number, since 2×489436322 = 4790958226702848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48943633) 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 15 ways as a sum of consecutive naturals, for example, 46957 + ... + 47987.

Almost surely, 248943632 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 48943632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67567104).

48943632 is an abundant number, since it is smaller than the sum of its proper divisors (86190576).

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

48943632 is a wasteful number, since it uses less digits than its factorization.

48943632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 48943632 is about 6995.9725556923. The cubic root of 48943632 is about 365.7901989687.

The spelling of 48943632 in words is "forty-eight million, nine hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 69 86 92 129 138 172 184 258 276 344 368 516 552 688 989 1031 1032 1104 1978 2062 2064 2967 3093 3956 4124 5934 6186 7912 8248 11868 12372 15824 16496 23713 23736 24744 44333 47426 47472 49488 71139 88666 94852 132999 142278 177332 189704 265998 284556 354664 379408 531996 569112 709328 1019659 1063992 1138224 2039318 2127984 3058977 4078636 6117954 8157272 12235908 16314544 24471816 48943632