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849630656 = 2674740351
BaseRepresentation
bin110010101001000…
…101010111000000
32012012201201011002
4302221011113000
53220001140111
6220150311132
730024512210
oct6251052700
92165651132
10849630656
113a665a0a6
121b86584a8
1310703c144
1480ba8240
154e8cc63b
hex32a455c0

849630656 has 56 divisors (see below), whose sum is σ = 1967886336. Its totient is φ = 356371200.

The previous prime is 849630653. The next prime is 849630673. The reversal of 849630656 is 656036948.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×8496306562 = 1443744503229980672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 849630656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849630653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881 + ... + 41231.

Almost surely, 2849630656 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 849630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983943168).

849630656 is an abundant number, since it is smaller than the sum of its proper divisors (1118255680).

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

849630656 is a wasteful number, since it uses less digits than its factorization.

849630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40417 (or 40407 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The square root of 849630656 is about 29148.4245886463. The cubic root of 849630656 is about 947.1310142341.

The spelling of 849630656 in words is "eight hundred forty-nine million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 10528 21056 40351 80702 161404 282457 322808 564914 645616 1129828 1291232 1896497 2259656 2582464 3792994 4519312 7585988 9038624 13275479 15171976 18077248 26550958 30343952 53101916 60687904 106203832 121375808 212407664 424815328 849630656