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46875248 = 2471393011
BaseRepresentation
bin1011001011010…
…0001001110000
310021012111202022
42302310021300
544000001443
64352411012
71106301350
oct262641160
9107174668
1046875248
1124507082
1213846a68
139933044
146322b60
1541ade68
hex2cb4270

46875248 has 40 divisors (see below), whose sum is σ = 104576640. Its totient is φ = 19938240.

The previous prime is 46875247. The next prime is 46875287. The reversal of 46875248 is 84257864.

It is a junction number, because it is equal to n+sod(n) for n = 46875199 and 46875208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46875247) 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 7 ways as a sum of consecutive naturals, for example, 14063 + ... + 17073.

It is an arithmetic number, because the mean of its divisors is an integer number (2614416).

Almost surely, 246875248 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 46875248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52288320).

46875248 is an abundant number, since it is smaller than the sum of its proper divisors (57701392).

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

46875248 is a wasteful number, since it uses less digits than its factorization.

46875248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3159 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 46875248 is about 6846.5500801499. The cubic root of 46875248 is about 360.5630284475.

The spelling of 46875248 in words is "forty-six million, eight hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3011 3892 6022 7784 12044 15568 21077 24088 42154 48176 84308 168616 337232 418529 837058 1674116 2929703 3348232 5859406 6696464 11718812 23437624 46875248