Search a number
-
+
46978048 = 210133529
BaseRepresentation
bin1011001100110…
…1010000000000
310021101201202201
42303031100000
544011244143
64354522544
71110210145
oct263152000
9107351681
1046978048
1124577337
1213896454
13996aa80
14634c3cc
1541ce64d
hex2ccd400

46978048 has 44 divisors (see below), whose sum is σ = 101162740. Its totient is φ = 21676032.

The previous prime is 46978037. The next prime is 46978069. The reversal of 46978048 is 84087964.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 41370624 = 2368^2 + 6432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46977989 and 46978007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11548 + ... + 15076.

Almost surely, 246978048 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 46978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50581370).

46978048 is an abundant number, since it is smaller than the sum of its proper divisors (54184692).

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

46978048 is a wasteful number, since it uses less digits than its factorization.

46978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 46978048 is about 6854.0533992667. The cubic root of 46978048 is about 360.8264141933.

The spelling of 46978048 in words is "forty-six million, nine hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 3529 6656 7058 13312 14116 28232 45877 56464 91754 112928 183508 225856 367016 451712 734032 903424 1468064 1806848 2936128 3613696 5872256 11744512 23489024 46978048