Search a number
-
+
5813449040 = 245729418731
BaseRepresentation
bin1010110101000001…
…00011000101010000
3120000011000210212102
411122200203011100
543401220332130
62400510215532
7264030334010
oct53240430520
916004023772
105813449040
1125135a4343
121162ab45a8
13718540199
143d212bc40
15240588645
hex15a823150

5813449040 has 160 divisors (see below), whose sum is σ = 16371452160. Its totient is φ = 1877299200.

The previous prime is 5813449021. The next prime is 5813449049. The reversal of 5813449040 is 409443185.

It is a junction number, because it is equal to n+sod(n) for n = 5813448985 and 5813449003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813449049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661475 + ... + 670205.

It is an arithmetic number, because the mean of its divisors is an integer number (102321576).

Almost surely, 25813449040 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 5813449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185726080).

5813449040 is an abundant number, since it is smaller than the sum of its proper divisors (10558003120).

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

5813449040 is a wasteful number, since it uses less digits than its factorization.

5813449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 5813449040 is about 76245.9772053582. The cubic root of 5813449040 is about 1798.0894378226.

The spelling of 5813449040 in words is "five billion, eight hundred thirteen million, four hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 41 56 58 70 80 82 112 116 140 145 164 203 205 232 280 287 290 328 406 410 464 560 574 580 656 812 820 1015 1148 1160 1189 1435 1624 1640 2030 2296 2320 2378 2870 3248 3280 4060 4592 4756 5740 5945 8120 8323 8731 9512 11480 11890 16240 16646 17462 19024 22960 23780 33292 34924 41615 43655 47560 61117 66584 69848 83230 87310 95120 122234 133168 139696 166460 174620 244468 253199 305585 332920 349240 357971 488936 506398 611170 665840 698480 715942 977872 1012796 1222340 1265995 1431884 1772393 1789855 2025592 2444680 2505797 2531990 2863768 3544786 3579710 4051184 4889360 5011594 5063980 5727536 7089572 7159420 8861965 10023188 10127960 10381159 12528985 14179144 14318840 17723930 20046376 20255920 20762318 25057970 28358288 28637680 35447860 40092752 41524636 50115940 51905795 70895720 72668113 83049272 100231880 103811590 141791440 145336226 166098544 200463760 207623180 290672452 363340565 415246360 581344904 726681130 830492720 1162689808 1453362260 2906724520 5813449040