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3542028540 = 2235174184697
BaseRepresentation
bin1101001100011111…
…0001000011111100
3100010211221200201020
43103013301003330
524223224403130
61343245544140
7153526513551
oct32307610374
910124850636
103542028540
111558423516
1282a275050
13445a9359b
142585bca28
1515ae5ee10
hexd31f10fc

3542028540 has 96 divisors (see below), whose sum is σ = 10757323584. Its totient is φ = 867287040.

The previous prime is 3542028533. The next prime is 3542028563. The reversal of 3542028540 is 458202453.

It is a super-3 number, since 3×35420285403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529 + ... + 84168.

It is an arithmetic number, because the mean of its divisors is an integer number (112055454).

Almost surely, 23542028540 is an apocalyptic number.

3542028540 is a gapful number since it is divisible by the number (30) 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 3542028540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378661792).

3542028540 is an abundant number, since it is smaller than the sum of its proper divisors (7215295044).

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

3542028540 is a wasteful number, since it uses less digits than its factorization.

3542028540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84767 (or 84765 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 3542028540 is about 59514.9438376615. The cubic root of 3542028540 is about 1524.3476260066.

The spelling of 3542028540 in words is "three billion, five hundred forty-two million, twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3485 4182 6970 8364 10455 13940 20910 41820 84697 169394 254091 338788 423485 508182 846970 1016364 1270455 1439849 1693940 2540910 2879698 3472577 4319547 5081820 5759396 6945154 7199245 8639094 10417731 13890308 14398490 17278188 17362885 20835462 21597735 28796980 34725770 41670924 43195470 52088655 59033809 69451540 86390940 104177310 118067618 177101427 208354620 236135236 295169045 354202854 590338090 708405708 885507135 1180676180 1771014270 3542028540