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3007478565 = 3657139067
BaseRepresentation
bin1011001101000010…
…0111101100100101
321202121002202000000
42303100213230211
522124403303230
61214232411513
7134346101040
oct26320475445
97677082000
103007478565
111303709183
126bb246b99
1338c102520
142075d1c57
1512906eb60
hexb3427b25

3007478565 has 112 divisors (see below), whose sum is σ = 6660409728. Its totient is φ = 1268949888.

The previous prime is 3007478549. The next prime is 3007478603. The reversal of 3007478565 is 5658747003.

3007478565 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3007478565 - 24 = 3007478549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3007478565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 327162 + ... + 336228.

It is an arithmetic number, because the mean of its divisors is an integer number (59467944).

Almost surely, 23007478565 is an apocalyptic number.

3007478565 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3007478565 is an abundant number, since it is smaller than the sum of its proper divisors (3652931163).

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

3007478565 is an equidigital number, since it uses as much as digits as its factorization.

3007478565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9110 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3007478565 is about 54840.4829026879. The cubic root of 3007478565 is about 1443.4470155230.

The spelling of 3007478565 in words is "three billion, seven million, four hundred seventy-eight thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 273 315 351 405 455 567 585 729 819 945 1053 1215 1365 1701 1755 2457 2835 3159 3645 4095 5103 5265 7371 8505 9067 9477 12285 15795 22113 25515 27201 36855 45335 47385 63469 66339 81603 110565 117871 136005 190407 244809 317345 331695 353613 408015 571221 589355 734427 825097 952035 1060839 1224045 1713663 1768065 2203281 2475291 2856105 3182517 3672135 4125485 5140989 5304195 6609843 7425873 8568315 9547551 11016405 12376455 15422967 15912585 22277619 25704945 28642653 33049215 37129365 46268901 47737755 66832857 77114835 85927959 111388095 143213265 200498571 231344505 334164285 429639795 601495713 1002492855 3007478565