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499000040 = 235711198527
BaseRepresentation
bin11101101111100…
…010001011101000
31021202221211100222
4131233202023220
52010221000130
6121303145212
715236300420
oct3557421350
91252854328
10499000040
11236744130
1211b145208
137c4c4bc6
144a3b5480
152dc1bce5
hex1dbe22e8

499000040 has 128 divisors (see below), whose sum is σ = 1473638400. Its totient is φ = 147329280.

The previous prime is 499000039. The next prime is 499000063. The reversal of 499000040 is 40000994.

It is a junction number, because it is equal to n+sod(n) for n = 498999973 and 499000009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54257 + ... + 62783.

It is an arithmetic number, because the mean of its divisors is an integer number (11512800).

Almost surely, 2499000040 is an apocalyptic number.

499000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736819200).

499000040 is an abundant number, since it is smaller than the sum of its proper divisors (974638360).

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

499000040 is a wasteful number, since it uses less digits than its factorization.

499000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 499000040 is about 22338.3087990116. The cubic root of 499000040 is about 793.1710603455.

The spelling of 499000040 in words is "four hundred ninety-nine million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7315 8360 8527 11704 14630 17054 29260 34108 42635 58520 59689 68216 85270 93797 119378 162013 170540 187594 238756 298445 324026 341080 375188 468985 477512 596890 648052 656579 750376 810065 937970 1134091 1193780 1296104 1313158 1620130 1782143 1875940 2268182 2387560 2626316 3240260 3282895 3564286 3751880 4536364 5252632 5670455 6480520 6565790 7128572 8910715 9072728 11340910 12475001 13131580 14257144 17821430 22681820 24950002 26263160 35642860 45363640 49900004 62375005 71285720 99800008 124750010 249500020 499000040