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48959952 = 24310110099
BaseRepresentation
bin1011101011000…
…1000111010000
310102010102102120
42322301013100
5100013204302
64505214240
71133103246
oct272610720
9112112376
1048959952
1125700378
1214491380
13a1b2bb2
146706796
1544719bc
hex2eb11d0

48959952 has 40 divisors (see below), whose sum is σ = 127744800. Its totient is φ = 16156800.

The previous prime is 48959927. The next prime is 48959987. The reversal of 48959952 is 25995984.

It is a junction number, because it is equal to n+sod(n) for n = 48959895 and 48959904.

It is a congruent number.

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, 202 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (3193620).

Almost surely, 248959952 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 48959952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63872400).

48959952 is an abundant number, since it is smaller than the sum of its proper divisors (78784848).

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

48959952 is a wasteful number, since it uses less digits than its factorization.

48959952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211 (or 10205 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 48959952 is about 6997.1388438418. The cubic root of 48959952 is about 365.8308513982.

The spelling of 48959952 in words is "forty-eight million, nine hundred fifty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 10099 20198 30297 40396 60594 80792 121188 161584 242376 484752 1019999 2039998 3059997 4079996 6119994 8159992 12239988 16319984 24479976 48959952