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46689048 = 233574773
BaseRepresentation
bin1011001000011…
…0101100011000
310020212001100000
42302012230120
543423022143
64344413000
71104564450
oct262065430
9106761300
1046689048
112439a19a
1213777160
139899373
1462b4d60
154173bd3
hex2c86b18

46689048 has 192 divisors, whose sum is σ = 155151360. Its totient is φ = 12877056.

The previous prime is 46689047. The next prime is 46689059. The reversal of 46689048 is 84098664.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46688994 and 46689012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46689047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639540 + ... + 639612.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 246689048 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 46689048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77575680).

46689048 is an abundant number, since it is smaller than the sum of its proper divisors (108462312).

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

46689048 is a wasteful number, since it uses less digits than its factorization.

46689048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46689048 is about 6832.9384601356. The cubic root of 46689048 is about 360.0849799384.

The spelling of 46689048 in words is "forty-six million, six hundred eighty-nine thousand, forty-eight".