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3540998052 = 223353718713
BaseRepresentation
bin1101001100001111…
…0101011110100100
3100010210000100011000
43103003311132210
524222443414202
61343211513300
7153514662324
oct32303653644
910123010130
103540998052
11155788a279
12829a58830
134457c2527
142583d1284
1515ad0991c
hexd30f57a4

3540998052 has 96 divisors (see below), whose sum is σ = 9486408960. Its totient is φ = 1141620480.

The previous prime is 3540998047. The next prime is 3540998053. The reversal of 3540998052 is 2508990453.

It is a junction number, because it is equal to n+sod(n) for n = 3540997989 and 3540998007.

It is not an unprimeable number, because it can be changed into a prime (3540998053) by changing a digit.

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, 402048 + ... + 410760.

It is an arithmetic number, because the mean of its divisors is an integer number (98816760).

Almost surely, 23540998052 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 3540998052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743204480).

3540998052 is an abundant number, since it is smaller than the sum of its proper divisors (5945410908).

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

3540998052 is a wasteful number, since it uses less digits than its factorization.

3540998052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3540998052 is about 59506.2858192309. The cubic root of 3540998052 is about 1524.1997847082.

The spelling of 3540998052 in words is "three billion, five hundred forty million, nine hundred ninety-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 71 106 108 142 159 212 213 284 318 426 477 636 639 852 954 1278 1431 1908 1917 2556 2862 3763 3834 5724 7526 7668 8713 11289 15052 17426 22578 26139 33867 34852 45156 52278 67734 78417 101601 104556 135468 156834 203202 235251 313668 406404 461789 470502 618623 923578 941004 1237246 1385367 1847156 1855869 2474492 2770734 3711738 4156101 5541468 5567607 7423476 8312202 11135214 12468303 16624404 16702821 22270428 24936606 32787019 33405642 49873212 65574038 66811284 98361057 131148076 196722114 295083171 393444228 590166342 885249513 1180332684 1770499026 3540998052