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48608032 = 2511178123
BaseRepresentation
bin1011100101101…
…1001100100000
310101110112200111
42321123030200
544420424112
64453501104
71130106244
oct271331440
9111415614
1048608032
112548aa30
1214341794
13a0bb965
146654424
1544025a7
hex2e5b320

48608032 has 48 divisors (see below), whose sum is σ = 110551392. Its totient is φ = 20792320.

The previous prime is 48608029. The next prime is 48608051. The reversal of 48608032 is 23080684.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 48607985 and 48608003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1923 + ... + 10045.

It is an arithmetic number, because the mean of its divisors is an integer number (2303154).

Almost surely, 248608032 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 48608032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55275696).

48608032 is an abundant number, since it is smaller than the sum of its proper divisors (61943360).

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

48608032 is a wasteful number, since it uses less digits than its factorization.

48608032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 48608032 is about 6971.9460697857. The cubic root of 48608032 is about 364.9522224321.

The spelling of 48608032 in words is "forty-eight million, six hundred eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 8123 16246 32492 64984 89353 129968 138091 178706 259936 276182 357412 552364 714824 1104728 1429648 1519001 2209456 2859296 3038002 4418912 6076004 12152008 24304016 48608032