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4240673052 = 22372111738567
BaseRepresentation
bin1111110011000011…
…1000100100011100
3101221112120111210220
43330300320210130
532141103014202
61540444201340
7210042061200
oct37460704434
911845514726
104240673052
111886827480
129a4239250
135277499c5
142c32c2b00
1519c465abc
hexfcc3891c

4240673052 has 144 divisors (see below), whose sum is σ = 13295778048. Its totient is φ = 1036654080.

The previous prime is 4240673051. The next prime is 4240673083. The reversal of 4240673052 is 2503760424.

4240673052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240673051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90673 + ... + 129239.

It is an arithmetic number, because the mean of its divisors is an integer number (92331792).

Almost surely, 24240673052 is an apocalyptic number.

4240673052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240673052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647889024).

4240673052 is an abundant number, since it is smaller than the sum of its proper divisors (9055104996).

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

4240673052 is a wasteful number, since it uses less digits than its factorization.

4240673052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38616 (or 38607 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 4240673052 is about 65120.4503362807. The cubic root of 4240673052 is about 1618.6201037234.

The spelling of 4240673052 in words is "four billion, two hundred forty million, six hundred seventy-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 49 51 66 68 77 84 98 102 119 132 147 154 187 196 204 231 238 294 308 357 374 462 476 539 561 588 714 748 833 924 1078 1122 1309 1428 1617 1666 2156 2244 2499 2618 3234 3332 3927 4998 5236 6468 7854 9163 9996 15708 18326 27489 36652 38567 54978 77134 109956 115701 154268 231402 269969 424237 462804 539938 655639 809907 848474 1079876 1272711 1311278 1619814 1696948 1889783 1966917 2545422 2622556 2969659 3239628 3779566 3933834 4589473 5090844 5669349 5939318 7212029 7559132 7867668 8908977 9178946 11338698 11878636 13768419 14424058 17817954 18357892 20787613 21636087 22677396 27536838 28848116 32126311 35635908 41575226 43272174 50484203 55073676 62362839 64252622 83150452 86544348 96378933 100968406 124725678 128505244 151452609 192757866 201936812 249451356 302905218 353389421 385515732 605810436 706778842 1060168263 1413557684 2120336526 4240673052