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4250097792 = 27323979293
BaseRepresentation
bin1111110101010011…
…0101100010000000
3101222012022100010100
43331110311202000
532201011112132
61541422202400
7210215143443
oct37524654200
911865270110
104250097792
111891084416
129a7423400
13529699785
142c465765a
1519d1c837c
hexfd535880

4250097792 has 96 divisors (see below), whose sum is σ = 12262224780. Its totient is φ = 1412978688.

The previous prime is 4250097781. The next prime is 4250097809. The reversal of 4250097792 is 2977900524.

It can be written as a sum of positive squares in 2 ways, for example, as 4133975616 + 116122176 = 64296^2 + 10776^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452698 + ... + 461990.

Almost surely, 24250097792 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 4250097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131112390).

4250097792 is an abundant number, since it is smaller than the sum of its proper divisors (8012126988).

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

4250097792 is a wasteful number, since it uses less digits than its factorization.

4250097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4250097792 is about 65192.7740781139. The cubic root of 4250097792 is about 1619.8183243912.

The spelling of 4250097792 in words is "four billion, two hundred fifty million, ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 397 576 794 1152 1191 1588 2382 3176 3573 4764 6352 7146 9293 9528 12704 14292 18586 19056 25408 27879 28584 37172 38112 50816 55758 57168 74344 76224 83637 111516 114336 148688 152448 167274 223032 228672 297376 334548 446064 457344 594752 669096 892128 1189504 1338192 1784256 2676384 3568512 3689321 5352768 7378642 10705536 11067963 14757284 22135926 29514568 33203889 44271852 59029136 66407778 88543704 118058272 132815556 177087408 236116544 265631112 354174816 472233088 531262224 708349632 1062524448 1416699264 2125048896 4250097792