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45453312 = 21234137
BaseRepresentation
bin1010110101100…
…1000000000000
310011112021020000
42231121000000
543114001222
64302120000
71061226642
oct255310000
9104467200
1045453312
1123725823
1213280000
139555a68
146072892
153ecc9ac
hex2b59000

45453312 has 130 divisors (see below), whose sum is σ = 136773318. Its totient is φ = 15040512.

The previous prime is 45453311. The next prime is 45453319. The reversal of 45453312 is 21335454.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 5308416 = 6336^2 + 2304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45453311) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331708 + ... + 331844.

Almost surely, 245453312 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 45453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68386659).

45453312 is an abundant number, since it is smaller than the sum of its proper divisors (91320006).

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

45453312 is an equidigital number, since it uses as much as digits as its factorization.

45453312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 45453312 is about 6741.9071485745. The cubic root of 45453312 is about 356.8796995976.

Adding to 45453312 its reverse (21335454), we get a palindrome (66788766).

The spelling of 45453312 in words is "forty-five million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 256 274 288 324 384 411 432 512 548 576 648 768 822 864 1024 1096 1152 1233 1296 1536 1644 1728 2048 2192 2304 2466 2592 3072 3288 3456 3699 4096 4384 4608 4932 5184 6144 6576 6912 7398 8768 9216 9864 10368 11097 12288 13152 13824 14796 17536 18432 19728 20736 22194 26304 27648 29592 35072 36864 39456 41472 44388 52608 55296 59184 70144 78912 82944 88776 105216 110592 118368 140288 157824 165888 177552 210432 236736 280576 315648 331776 355104 420864 473472 561152 631296 710208 841728 946944 1262592 1420416 1683456 1893888 2525184 2840832 3787776 5050368 5681664 7575552 11363328 15151104 22726656 45453312