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46115328 = 29374289
BaseRepresentation
bin1010111111101…
…0101000000000
310012202220100010
42233322220000
543301142303
64324224520
71066655010
oct257725000
9105686303
1046115328
1124038146
121353b140
13972819c
1461a5c40
1540adc03
hex2bfaa00

46115328 has 80 divisors (see below), whose sum is σ = 140437440. Its totient is φ = 13172736.

The previous prime is 46115323. The next prime is 46115347. The reversal of 46115328 is 82351164.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 46115295 and 46115304.

It is not an unprimeable number, because it can be changed into a prime (46115323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8608 + ... + 12896.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 246115328 is an apocalyptic number.

46115328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218720).

46115328 is an abundant number, since it is smaller than the sum of its proper divisors (94322112).

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

46115328 is an equidigital number, since it uses as much as digits as its factorization.

46115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4301 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 46115328 is about 6790.8267537907. The cubic root of 46115328 is about 358.6039761510.

The spelling of 46115328 in words is "forty-six million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 4289 5376 8578 10752 12867 17156 25734 30023 34312 51468 60046 68624 90069 102936 120092 137248 180138 205872 240184 274496 360276 411744 480368 548992 720552 823488 960736 1097984 1441104 1646976 1921472 2195968 2882208 3293952 3842944 5764416 6587904 7685888 11528832 15371776 23057664 46115328