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46230496 = 2513195849
BaseRepresentation
bin1011000001011…
…0101111100000
310012222202022121
42300112233200
543313333441
64330514024
71100644534
oct260265740
9105882277
1046230496
1124106724
1213595914
139768730
1461d5bc4
1540d2dd1
hex2c16be0

46230496 has 48 divisors (see below), whose sum is σ = 103194000. Its totient is φ = 20210688.

The previous prime is 46230467. The next prime is 46230511. The reversal of 46230496 is 69403264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4980 + ... + 10828.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 246230496 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 46230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597000).

46230496 is an abundant number, since it is smaller than the sum of its proper divisors (56963504).

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

46230496 is a wasteful number, since it uses less digits than its factorization.

46230496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 46230496 is about 6799.3011405585. The cubic root of 46230496 is about 358.9022527518.

It can be divided in two parts, 462304 and 96, that added together give a square (462400 = 6802).

The spelling of 46230496 in words is "forty-six million, two hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 5849 7904 11698 23396 46792 76037 93584 111131 152074 187168 222262 304148 444524 608296 889048 1216592 1444703 1778096 2433184 2889406 3556192 5778812 11557624 23115248 46230496