Search a number
-
+
8028147897 = 347311109241
BaseRepresentation
bin1110111101000001…
…11101000010111001
3202201111101011120000
413132200331002321
5112420201213042
63404343023213
7402642063000
oct73640750271
922644334500
108028147897
11344a753380
12168073ab09
139ac31a093
14562313c37
1531ec0a74c
hex1de83d0b9

8028147897 has 160 divisors (see below), whose sum is σ = 15460896000. Its totient is φ = 4115059200.

The previous prime is 8028147893. The next prime is 8028147899. The reversal of 8028147897 is 7987418208.

It is a happy number.

8028147897 is a `hidden beast` number, since 8 + 0 + 2 + 81 + 478 + 97 = 666.

It is not a de Polignac number, because 8028147897 - 22 = 8028147893 is a prime.

It is a super-2 number, since 2×80281478972 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8028147893) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33311697 + ... + 33311937.

It is an arithmetic number, because the mean of its divisors is an integer number (96630600).

Almost surely, 28028147897 is an apocalyptic number.

It is an amenable number.

8028147897 is a deficient number, since it is larger than the sum of its proper divisors (7432748103).

8028147897 is a wasteful number, since it uses less digits than its factorization.

8028147897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 8028147897 is about 89599.9324609120. The cubic root of 8028147897 is about 2002.3429123924.

The spelling of 8028147897 in words is "eight billion, twenty-eight million, one hundred forty-seven thousand, eight hundred ninety-seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 109 147 189 231 241 297 327 343 441 539 567 693 723 763 891 981 1029 1199 1323 1617 1687 2079 2169 2289 2651 2943 3087 3597 3773 3969 4851 5061 5341 6237 6507 6867 7953 8393 8829 9261 10791 11319 11809 14553 15183 16023 18557 19521 20601 23859 25179 26269 27783 32373 33957 35427 37387 43659 45549 48069 55671 58751 61803 71577 75537 78807 82663 97119 101871 106281 112161 129899 136647 144207 167013 176253 183883 214731 226611 236421 247989 288959 305613 318843 336483 389697 411257 432621 501039 528759 551649 679833 709263 743967 866877 909293 956529 1009449 1169091 1233771 1287181 1503117 1586277 1654947 2022713 2127789 2231901 2600631 2727879 3028347 3507273 3701313 3861543 4758831 4964841 6068139 6695703 7801893 8183637 9010267 10521819 11103939 11584629 14158991 14894523 18204417 23405679 24550911 27030801 33311817 34753887 42476973 54613251 73652733 81092403 99112937 104261661 127430919 163839753 243277209 297338811 382292757 729831627 892016433 1146878271 2676049299 8028147897