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3848470794 = 23277127383
BaseRepresentation
bin1110010101100011…
…0000000100001010
3100221012120120110100
43211120300010022
530340202031134
61433514030230
7164240314320
oct34530600412
910835516410
103848470794
1116a53a8083
128b4a18376
1349440876c
1428718bd10
15177ce2999
hexe563010a

3848470794 has 144 divisors (see below), whose sum is σ = 9916111296. Its totient is φ = 1056343680.

The previous prime is 3848470793. The next prime is 3848470811. The reversal of 3848470794 is 4970748483.

3848470794 is a `hidden beast` number, since 3 + 8 + 484 + 70 + 7 + 94 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3848470794.

It is not an unprimeable number, because it can be changed into a prime (3848470793) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46367077 + ... + 46367159.

It is an arithmetic number, because the mean of its divisors is an integer number (68861884).

Almost surely, 23848470794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848470794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958055648).

3848470794 is an abundant number, since it is smaller than the sum of its proper divisors (6067640502).

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

3848470794 is a wasteful number, since it uses less digits than its factorization.

3848470794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3848470794 is about 62036.0443129637. The cubic root of 3848470794 is about 1567.0976704510.

It can be divided in two parts, 38484 and 70794, that added together give a triangular number (109278 = T467).

The spelling of 3848470794 in words is "three billion, eight hundred forty-eight million, four hundred seventy thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 73 83 126 142 146 166 213 219 249 426 438 497 498 511 581 639 657 747 994 1022 1162 1278 1314 1491 1494 1533 1743 2982 3066 3486 4473 4599 5041 5183 5229 5893 6059 8946 9198 10082 10366 10458 11786 12118 15123 15549 17679 18177 30246 31098 35287 35358 36281 36354 41251 42413 45369 46647 53037 54531 70574 72562 82502 84826 90738 93294 105861 106074 108843 109062 123753 127239 211722 217686 247506 254478 317583 326529 367993 371259 381717 418403 430189 635166 653058 735986 742518 763434 836806 860378 1103979 1255209 1290567 2207958 2510418 2575951 2581134 2928821 3011323 3311937 3765627 3871701 5151902 5857642 6022646 6623874 7531254 7727853 7743402 8786463 9033969 15455706 17572926 18067938 23183559 26359389 27101907 30543419 46367118 52718778 54203814 61086838 91630257 183260514 213803933 274890771 427607866 549781542 641411799 1282823598 1924235397 3848470794