Search a number
-
+
850904064 = 21032127727
BaseRepresentation
bin110010101101111…
…100010000000000
32012022010101221100
4302231330100000
53220312412224
6220233454400
730041364603
oct6255742000
92168111840
10850904064
113a73498aa
121b8b71400
1310739693a
148101a33a
154ea7eac9
hex32b7c400

850904064 has 132 divisors (see below), whose sum is σ = 2479719424. Its totient is φ = 281014272.

The previous prime is 850904039. The next prime is 850904069. The reversal of 850904064 is 460409058.

It is a super-2 number, since 2×8509040642 = 1448075452263432192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (850904069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170069 + ... + 1170795.

Almost surely, 2850904064 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 850904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239859712).

850904064 is an abundant number, since it is smaller than the sum of its proper divisors (1628815360).

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

850904064 is a wasteful number, since it uses less digits than its factorization.

850904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 850904064 is about 29170.2599234220. The cubic root of 850904064 is about 947.6039578409.

The spelling of 850904064 in words is "eight hundred fifty million, nine hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 727 762 768 1016 1024 1143 1152 1454 1524 1536 2032 2181 2286 2304 2908 3048 3072 4064 4362 4572 4608 5816 6096 6543 8128 8724 9144 9216 11632 12192 13086 16256 17448 18288 23264 24384 26172 32512 34896 36576 46528 48768 52344 65024 69792 73152 92329 93056 97536 104688 130048 139584 146304 184658 186112 195072 209376 276987 279168 292608 369316 372224 390144 418752 553974 558336 585216 738632 744448 830961 837504 1107948 1116672 1170432 1477264 1661922 1675008 2215896 2233344 2954528 3323844 3350016 4431792 5909056 6647688 6700032 8863584 11818112 13295376 17727168 23636224 26590752 35454336 47272448 53181504 70908672 94544896 106363008 141817344 212726016 283634688 425452032 850904064