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4075880248 = 2311317397211
BaseRepresentation
bin1111001011110000…
…1111111100111000
3101112001111011120201
43302330033330320
531321411131443
61512240131544
7203001260536
oct36274177470
911461434521
104075880248
111801801180
12959006bb4
134cc56b87b
142a9467156
1518cc6334d
hexf2f0ff38

4075880248 has 128 divisors (see below), whose sum is σ = 8855562240. Its totient is φ = 1741824000.

The previous prime is 4075880243. The next prime is 4075880269. The reversal of 4075880248 is 8420885704.

It is a happy number.

It is a super-2 number, since 2×40758802482 = 33225599592073083008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4075880198 and 4075880207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075880243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19316863 + ... + 19317073.

It is an arithmetic number, because the mean of its divisors is an integer number (69184080).

Almost surely, 24075880248 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 4075880248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427781120).

4075880248 is an abundant number, since it is smaller than the sum of its proper divisors (4779681992).

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

4075880248 is a wasteful number, since it uses less digits than its factorization.

4075880248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 4075880248 is about 63842.6209361740. The cubic root of 4075880248 is about 1597.3759394190.

The spelling of 4075880248 in words is "four billion, seventy-five million, eight hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 73 88 97 124 146 194 211 248 292 341 388 422 584 682 776 803 844 1067 1364 1606 1688 2134 2263 2321 2728 3007 3212 4268 4526 4642 6014 6424 6541 7081 8536 9052 9284 12028 13082 14162 15403 18104 18568 20467 24056 24893 26164 28324 30806 33077 40934 49786 52328 56648 61612 66154 71951 77891 81868 99572 123224 132308 143902 155782 163736 169433 199144 219511 225137 264616 287804 311564 338866 439022 450274 477493 575608 623128 634477 677732 878044 900548 954986 1268954 1355464 1494091 1756088 1801096 1909972 2414621 2537908 2988182 3819944 4829242 5075816 5252423 5976364 6979247 9658484 10504846 11952728 13958494 16435001 19316968 21009692 27916988 32870002 42019384 46316821 55833976 65740004 92633642 131480008 185267284 370534568 509485031 1018970062 2037940124 4075880248