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45232128 = 21233409
BaseRepresentation
bin1010110010001…
…1000000000000
310011010000211000
42230203000000
543034412003
64253252000
71056316044
oct254430000
9104100730
1045232128
1123594627
1213194000
1394a9196
146016024
153e871a3
hex2b23000

45232128 has 104 divisors (see below), whose sum is σ = 134332400. Its totient is φ = 15040512.

The previous prime is 45232127. The next prime is 45232139. The reversal of 45232128 is 82123254.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45232127) 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 7 ways as a sum of consecutive naturals, for example, 110388 + ... + 110796.

Almost surely, 245232128 is an apocalyptic number.

45232128 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 45232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67166200).

45232128 is an abundant number, since it is smaller than the sum of its proper divisors (89100272).

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

45232128 is an equidigital number, since it uses as much as digits as its factorization.

45232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 414 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 45232128 is about 6725.4834770446. The cubic root of 45232128 is about 356.2998777809.

The spelling of 45232128 in words is "forty-five million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 409 432 512 576 768 818 864 1024 1152 1227 1536 1636 1728 2048 2304 2454 3072 3272 3456 3681 4096 4608 4908 6144 6544 6912 7362 9216 9816 11043 12288 13088 13824 14724 18432 19632 22086 26176 27648 29448 36864 39264 44172 52352 55296 58896 78528 88344 104704 110592 117792 157056 176688 209408 235584 314112 353376 418816 471168 628224 706752 837632 942336 1256448 1413504 1675264 1884672 2512896 2827008 3769344 5025792 5654016 7538688 11308032 15077376 22616064 45232128