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48550632 = 23313612551
BaseRepresentation
bin1011100100110…
…1001011101000
310101100121221120
42321031023220
544412110012
64452335240
71126450014
oct271151350
9111317846
1048550632
1125450899
1214314520
13a09b7b0
14663b544
1543e058c
hex2e4d2e8

48550632 has 64 divisors (see below), whose sum is σ = 132908160. Its totient is φ = 14688000.

The previous prime is 48550609. The next prime is 48550633. The reversal of 48550632 is 23605584.

48550632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48550593 and 48550602.

It is not an unprimeable number, because it can be changed into a prime (48550633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17757 + ... + 20307.

It is an arithmetic number, because the mean of its divisors is an integer number (2076690).

Almost surely, 248550632 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 48550632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66454080).

48550632 is an abundant number, since it is smaller than the sum of its proper divisors (84357528).

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

48550632 is a wasteful number, since it uses less digits than its factorization.

48550632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 48550632 is about 6967.8283560949. The cubic root of 48550632 is about 364.8085115550.

The spelling of 48550632 in words is "forty-eight million, five hundred fifty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 2551 3172 4758 5102 6344 7653 9516 10204 15306 19032 20408 30612 33163 61224 66326 99489 132652 155611 198978 265304 311222 397956 466833 622444 795912 933666 1244888 1867332 2022943 3734664 4045886 6068829 8091772 12137658 16183544 24275316 48550632