Search a number
-
+
70775856 = 243497563
BaseRepresentation
bin1000011011111…
…11010000110000
311221011210020000
410031333100300
5121104311411
611004550000
71516404414
oct415772060
9157153200
1070775856
1136a50a48
121b852300
1311880a08
149584d44
156330956
hex437f430

70775856 has 100 divisors (see below), whose sum is σ = 207325272. Its totient is φ = 23307264.

The previous prime is 70775849. The next prime is 70775891. The reversal of 70775856 is 65857707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125431 + ... + 125993.

Almost surely, 270775856 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 70775856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103662636).

70775856 is an abundant number, since it is smaller than the sum of its proper divisors (136549416).

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

70775856 is a wasteful number, since it uses less digits than its factorization.

70775856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 70775856 is about 8412.8387598955. The cubic root of 70775856 is about 413.6455693699.

It can be divided in two parts, 70775 and 856, that added together give a triangular number (71631 = T378).

The spelling of 70775856 in words is "seventy million, seven hundred seventy-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 291 324 388 432 563 582 648 776 873 1126 1164 1296 1552 1689 1746 2252 2328 2619 3378 3492 4504 4656 5067 5238 6756 6984 7857 9008 10134 10476 13512 13968 15201 15714 20268 20952 27024 30402 31428 40536 41904 45603 54611 60804 62856 81072 91206 109222 121608 125712 163833 182412 218444 243216 327666 364824 436888 491499 655332 729648 873776 982998 1310664 1474497 1965996 2621328 2948994 3931992 4423491 5897988 7863984 8846982 11795976 17693964 23591952 35387928 70775856