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46240768 = 21076451
BaseRepresentation
bin1011000001100…
…1010000000000
310020000021102001
42300121100000
543314201033
64331033344
71101016510
oct260312000
9106007361
1046240768
1124113412
121359b854
139770302
1461d9840
1540d5e7d
hex2c19400

46240768 has 44 divisors (see below), whose sum is σ = 105657952. Its totient is φ = 19814400.

The previous prime is 46240763. The next prime is 46240771. The reversal of 46240768 is 86704264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46240763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3943 + ... + 10393.

Almost surely, 246240768 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 46240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52828976).

46240768 is an abundant number, since it is smaller than the sum of its proper divisors (59417184).

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

46240768 is an equidigital number, since it uses as much as digits as its factorization.

46240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 46240768 is about 6800.0564703538. The cubic root of 46240768 is about 358.9288323998.

The spelling of 46240768 in words is "forty-six million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 6451 7168 12902 25804 45157 51608 90314 103216 180628 206432 361256 412864 722512 825728 1445024 1651456 2890048 3302912 5780096 6605824 11560192 23120384 46240768