Search a number
-
+
4261152540 = 2235471511047
BaseRepresentation
bin1111110111111100…
…0000011100011100
3101222222002222101110
43331333000130130
532211323340130
61542455142020
7210411125151
oct37577003434
911888088343
104261152540
111897344a77
129ab074910
1352ba6a448
142c5cd4228
1519e15dab0
hexfdfc071c

4261152540 has 48 divisors (see below), whose sum is σ = 12185091072. Its totient is φ = 1112129856.

The previous prime is 4261152517. The next prime is 4261152547. The reversal of 4261152540 is 452511624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4261152498 and 4261152507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261152547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752704 + ... + 758343.

It is an arithmetic number, because the mean of its divisors is an integer number (253856064).

Almost surely, 24261152540 is an apocalyptic number.

It is an amenable number.

4261152540 is an abundant number, since it is smaller than the sum of its proper divisors (7923938532).

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

4261152540 is a wasteful number, since it uses less digits than its factorization.

4261152540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511106 (or 1511104 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4261152540 is about 65277.5040883151. The cubic root of 4261152540 is about 1621.2215219345.

The spelling of 4261152540 in words is "four billion, two hundred sixty-one million, one hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 1511047 3022094 4533141 6044188 7555235 9066282 15110470 18132564 22665705 30220940 45331410 71019209 90662820 142038418 213057627 284076836 355096045 426115254 710192090 852230508 1065288135 1420384180 2130576270 4261152540