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48642012 = 22332331933
BaseRepresentation
bin1011100110001…
…1011111011100
310101112021022000
42321203133130
544423021022
64454322300
71130310306
oct271433734
9111467260
1048642012
1125503511
1214359390
13a101273
146662976
15440c6ac
hex2e637dc

48642012 has 48 divisors (see below), whose sum is σ = 126715680. Its totient is φ = 16136064.

The previous prime is 48641993. The next prime is 48642053. The reversal of 48642012 is 21024684.

48642012 is a `hidden beast` number, since 4 + 8 + 642 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24198 + ... + 26130.

It is an arithmetic number, because the mean of its divisors is an integer number (2639910).

Almost surely, 248642012 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 48642012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63357840).

48642012 is an abundant number, since it is smaller than the sum of its proper divisors (78073668).

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

48642012 is a wasteful number, since it uses less digits than its factorization.

48642012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48642012 is about 6974.3825533161. The cubic root of 48642012 is about 365.0372439634.

Adding to 48642012 its reverse (21024684), we get a palindrome (69666696).

The spelling of 48642012 in words is "forty-eight million, six hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1398 1933 2097 2796 3866 4194 5799 6291 7732 8388 11598 12582 17397 23196 25164 34794 52191 69588 104382 208764 450389 900778 1351167 1801556 2702334 4053501 5404668 8107002 12160503 16214004 24321006 48642012