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48792 = 23319107
BaseRepresentation
bin1011111010011000
32110221010
423322120
53030132
61013520
7262152
oct137230
973833
1048792
1133727
12242a0
1319293
1413ad2
15e6cc
hexbe98

48792 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 15264.

The previous prime is 48787. The next prime is 48799. The reversal of 48792 is 29784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

248792 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 48792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

48792 is an abundant number, since it is smaller than the sum of its proper divisors (80808).

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

48792 is a wasteful number, since it uses less digits than its factorization.

48792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 48792 is about 220.8891124524. The cubic root of 48792 is about 36.5412057318.

The spelling of 48792 in words is "forty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1284 2033 2568 4066 6099 8132 12198 16264 24396 48792