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5255225040 = 2435137732179
BaseRepresentation
bin1001110010011110…
…00101111011010000
3111120020122002111110
410321033011323100
541230314200130
62225245413320
7244141450542
oct47117057320
914506562443
105255225040
11225748a39a
121027b6a240
136599b0620
1437bd3b692
1520b56dab0
hex1393c5ed0

5255225040 has 160 divisors (see below), whose sum is σ = 17575125120. Its totient is φ = 1291327488.

The previous prime is 5255225023. The next prime is 5255225051. The reversal of 5255225040 is 405225525.

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 = 5255224989 and 5255225007.

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, 2410671 + ... + 2412849.

It is an arithmetic number, because the mean of its divisors is an integer number (109844532).

Almost surely, 25255225040 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 5255225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787562560).

5255225040 is an abundant number, since it is smaller than the sum of its proper divisors (12319900080).

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

5255225040 is a wasteful number, since it uses less digits than its factorization.

5255225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 5255225040 is about 72492.9309657155. The cubic root of 5255225040 is about 1738.5897147050.

The spelling of 5255225040 in words is "five billion, two hundred fifty-five million, two hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 773 780 1040 1546 1560 2179 2319 3092 3120 3865 4358 4638 6184 6537 7730 8716 9276 10049 10895 11595 12368 13074 15460 17432 18552 20098 21790 23190 26148 28327 30147 30920 32685 34864 37104 40196 43580 46380 50245 52296 56654 60294 61840 65370 80392 84981 87160 92760 100490 104592 113308 120588 130740 141635 150735 160784 169962 174320 185520 200980 226616 241176 261480 283270 301470 339924 401960 424905 453232 482352 522960 566540 602940 679848 803920 849810 1133080 1205880 1359696 1684367 1699620 2266160 2411760 3368734 3399240 5053101 6737468 6798480 8421835 10106202 13474936 16843670 20212404 21896771 25265505 26949872 33687340 40424808 43793542 50531010 65690313 67374680 80849616 87587084 101062020 109483855 131380626 134749360 175174168 202124040 218967710 262761252 328451565 350348336 404248080 437935420 525522504 656903130 875870840 1051045008 1313806260 1751741680 2627612520 5255225040