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2025787904 = 2971971419
BaseRepresentation
bin111100010111111…
…0001001000000000
312020011212200120122
41320233301020000
513122100203104
6533003355412
7101125625120
oct17057611000
95204780518
102025787904
1194a560488
12486522b68
1326390608a
1415308cc80
15bcca86be
hex78bf1200

2025787904 has 160 divisors (see below), whose sum is σ = 4949683200. Its totient is φ = 808980480.

The previous prime is 2025787903. The next prime is 2025787927. The reversal of 2025787904 is 4097875202.

It is not an unprimeable number, because it can be changed into a prime (2025787903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4834607 + ... + 4835025.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 22025787904 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 2025787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

2025787904 is an abundant number, since it is smaller than the sum of its proper divisors (2923895296).

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

2025787904 is an equidigital number, since it uses as much as digits as its factorization.

2025787904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 2025787904 is about 45008.7536374870. The cubic root of 2025787904 is about 1265.3130616071.

The spelling of 2025787904 in words is "two billion, twenty-five million, seven hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 71 76 112 128 133 142 152 224 256 266 284 304 419 448 497 512 532 568 608 838 896 994 1064 1136 1216 1349 1676 1792 1988 2128 2272 2432 2698 2933 3352 3584 3976 4256 4544 4864 5396 5866 6704 7952 7961 8512 9088 9443 9728 10792 11732 13408 15904 15922 17024 18176 18886 21584 23464 26816 29749 31808 31844 34048 36352 37772 43168 46928 53632 55727 59498 63616 63688 68096 75544 86336 93856 107264 111454 118996 127232 127376 151088 172672 187712 208243 214528 222908 237992 254464 254752 302176 345344 375424 416486 445816 475984 509504 565231 604352 690688 750848 832972 891632 951968 1019008 1130462 1208704 1501696 1665944 1783264 1903936 2038016 2260924 2417408 3331888 3566528 3807872 3956617 4076032 4521848 4834816 6663776 7133056 7615744 7913234 9043696 13327552 14266112 15231488 15826468 18087392 26655104 28532224 31652936 36174784 53310208 63305872 72349568 106620416 126611744 144699136 253223488 289398272 506446976 1012893952 2025787904