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2485620736 = 212192412
BaseRepresentation
bin1001010000100111…
…1001000000000000
320102020010121122021
42110021321000000
520042304330421
61050351251224
7115411266454
oct22411710000
96366117567
102485620736
111066082715
12594519b14
13307c66501
1419818a664
15e833a341
hex94279000

2485620736 has 117 divisors (see below), whose sum is σ = 5377088433. Its totient is φ = 1148682240.

The previous prime is 2485620733. The next prime is 2485620749. The reversal of 2485620736 is 6370265842.

The square root of 2485620736 is 49856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 2365849600 = 10944^2 + 48640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2485620692 and 2485620701.

It is not an unprimeable number, because it can be changed into a prime (2485620733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60624876 + ... + 60624916.

Almost surely, 22485620736 is an apocalyptic number.

2485620736 is the 49856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2485620736

2485620736 is an abundant number, since it is smaller than the sum of its proper divisors (2891467697).

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

2485620736 is an frugal number, since it uses more digits than its factorization.

2485620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The cubic root of 2485620736 is about 1354.6017149782.

The spelling of 2485620736 in words is "two billion, four hundred eighty-five million, six hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 361 512 608 656 722 779 1024 1216 1312 1444 1558 1681 2048 2432 2624 2888 3116 3362 4096 4864 5248 5776 6232 6724 9728 10496 11552 12464 13448 14801 19456 20992 23104 24928 26896 29602 31939 38912 41984 46208 49856 53792 59204 63878 77824 83968 92416 99712 107584 118408 127756 167936 184832 199424 215168 236816 255512 369664 398848 430336 473632 511024 606841 739328 797696 860672 947264 1022048 1213682 1478656 1595392 1721344 1894528 2044096 2427364 3190784 3442688 3789056 4088192 4854728 6885376 7578112 8176384 9709456 15156224 16352768 19418912 30312448 32705536 38837824 60624896 65411072 77675648 130822144 155351296 310702592 621405184 1242810368 2485620736