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46000224 = 253417747
BaseRepresentation
bin1010111101111…
…0100001100000
310012120001110000
42233132201200
543234001344
64321540000
71065665304
oct257364140
9105501400
1046000224
1123a69716
12134a4600
1396b798a
146175d04
154089a69
hex2bde860

46000224 has 60 divisors (see below), whose sum is σ = 135293004. Its totient is φ = 15332544.

The previous prime is 46000219. The next prime is 46000231. The reversal of 46000224 is 42200064.

46000224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 46000197 and 46000206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6282 + ... + 11465.

Almost surely, 246000224 is an apocalyptic number.

It is an amenable number.

46000224 is an abundant number, since it is smaller than the sum of its proper divisors (89292780).

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

46000224 is a wasteful number, since it uses less digits than its factorization.

46000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17769 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 46000224 is about 6782.3464966043. The cubic root of 46000224 is about 358.3053686968.

Adding to 46000224 its reverse (42200064), we get a palindrome (88200288).

The spelling of 46000224 in words is "forty-six million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 17747 35494 53241 70988 106482 141976 159723 212964 283952 319446 425928 479169 567904 638892 851856 958338 1277784 1437507 1703712 1916676 2555568 2875014 3833352 5111136 5750028 7666704 11500056 15333408 23000112 46000224