Search a number
-
+
5603426352 = 2432592772381
BaseRepresentation
bin1010011011111110…
…11000000000110000
3112110111211112220100
411031333120000300
542433434120402
62324004512400
7255600223656
oct51577300060
915414745810
105603426352
112415a96177
1211046ab700
136b3b86bc4
143b229add6
1522bdee71c
hex14dfd8030

5603426352 has 120 divisors (see below), whose sum is σ = 16011899280. Its totient is φ = 1828753920.

The previous prime is 5603426351. The next prime is 5603426393. The reversal of 5603426352 is 2536243065.

5603426352 is a `hidden beast` number, since 5 + 603 + 42 + 6 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5603426351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2352202 + ... + 2354582.

It is an arithmetic number, because the mean of its divisors is an integer number (133432494).

Almost surely, 25603426352 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 5603426352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005949640).

5603426352 is an abundant number, since it is smaller than the sum of its proper divisors (10408472928).

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

5603426352 is a wasteful number, since it uses less digits than its factorization.

5603426352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5603426352 is about 74856.0375120137. The cubic root of 5603426352 is about 1776.1701048415.

The spelling of 5603426352 in words is "five billion, six hundred three million, four hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 277 354 472 531 554 708 831 944 1062 1108 1416 1662 2124 2216 2381 2493 2832 3324 4248 4432 4762 4986 6648 7143 8496 9524 9972 13296 14286 16343 19048 19944 21429 28572 32686 38096 39888 42858 49029 57144 65372 85716 98058 114288 130744 140479 147087 171432 196116 261488 280958 294174 342864 392232 421437 561916 588348 659537 784464 842874 1123832 1176696 1264311 1319074 1685748 1978611 2247664 2353392 2528622 2638148 3371496 3957222 5057244 5276296 5935833 6742992 7914444 10114488 10552592 11871666 15828888 20228976 23743332 31657776 38912683 47486664 77825366 94973328 116738049 155650732 233476098 311301464 350214147 466952196 622602928 700428294 933904392 1400856588 1867808784 2801713176 5603426352