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1449308672 = 2972411409
BaseRepresentation
bin101011001100010…
…1011001000000000
310202000010111201222
41112120223020000
510432010334142
6355451414212
750625630500
oct12630531000
93660114658
101449308672
11684108069
12345454368
131a13542c6
14da6a9a00
1587384bd2
hex5662b200

1449308672 has 120 divisors (see below), whose sum is σ = 3453177420. Its totient is φ = 605552640.

The previous prime is 1449308579. The next prime is 1449308677. The reversal of 1449308672 is 2768039441.

It can be written as a sum of positive squares in 2 ways, for example, as 962488576 + 486820096 = 31024^2 + 22064^2 .

It is not an unprimeable number, because it can be changed into a prime (1449308677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027904 + ... + 1029312.

Almost surely, 21449308672 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 1449308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726588710).

1449308672 is an abundant number, since it is smaller than the sum of its proper divisors (2003868748).

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

1449308672 is an equidigital number, since it uses as much as digits as its factorization.

1449308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 1449308672 is about 38069.7868657023. The cubic root of 1449308672 is about 1131.6712868105.

The spelling of 1449308672 in words is "one billion, four hundred forty-nine million, three hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 256 287 328 392 448 512 574 656 784 896 1148 1312 1409 1568 1792 2009 2296 2624 2818 3136 3584 4018 4592 5248 5636 6272 8036 9184 9863 10496 11272 12544 16072 18368 19726 20992 22544 25088 32144 36736 39452 45088 57769 64288 69041 73472 78904 90176 115538 128576 138082 146944 157808 180352 231076 257152 276164 315616 360704 404383 462152 514304 552328 631232 721408 808766 924304 1028608 1104656 1262464 1617532 1848608 2209312 2524928 2830681 3235064 3697216 4418624 5049856 5661362 6470128 7394432 8837248 11322724 12940256 14788864 17674496 22645448 25880512 29577728 35348992 45290896 51761024 90581792 103522048 181163584 207044096 362327168 724654336 1449308672