Search a number
-
+
812748040 = 235132251479
BaseRepresentation
bin110000011100011…
…000110100001000
32002122022212201021
4300130120310020
53131030414130
6212352002224
726066146546
oct6034306410
92078285637
10812748040
113878586a5
121a8230374
13cc4c7500
1479d26d96
154b54437a
hex30718d08

812748040 has 96 divisors (see below), whose sum is σ = 1992211200. Its totient is φ = 298272000.

The previous prime is 812748029. The next prime is 812748061. The reversal of 812748040 is 40847218.

It is a junction number, because it is equal to n+sod(n) for n = 812747987 and 812748005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1696521 + ... + 1696999.

It is an arithmetic number, because the mean of its divisors is an integer number (20752200).

Almost surely, 2812748040 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 812748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996105600).

812748040 is an abundant number, since it is smaller than the sum of its proper divisors (1179463160).

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

812748040 is a wasteful number, since it uses less digits than its factorization.

812748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 812748040 is about 28508.7362048899. The cubic root of 812748040 is about 933.2227346272. Note that the first 3 decimals are identical.

The spelling of 812748040 in words is "eight hundred twelve million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 251 260 338 479 502 520 676 845 958 1004 1255 1352 1690 1916 2008 2395 2510 3263 3380 3832 4790 5020 6227 6526 6760 9580 10040 12454 13052 16315 19160 24908 26104 31135 32630 42419 49816 62270 65260 80951 84838 120229 124540 130520 161902 169676 212095 240458 249080 323804 339352 404755 424190 480916 601145 647608 809510 848380 961832 1202290 1562977 1619020 1696760 2404580 3125954 3238040 4809160 6251908 7814885 12503816 15629770 20318701 31259540 40637402 62519080 81274804 101593505 162549608 203187010 406374020 812748040