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842690464 = 25711231091
BaseRepresentation
bin110010001110100…
…110111110100000
32011201200002222221
4302032212332200
53211212043324
6215341440424
726611515340
oct6216467640
92151602887
10842690464
113a2749900
121b6270114
1310577c215
147dcbcd20
154deab0e4
hex323a6fa0

842690464 has 72 divisors (see below), whose sum is σ = 2084158944. Its totient is φ = 328310400.

The previous prime is 842690461. The next prime is 842690467. The reversal of 842690464 is 464096248.

842690464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (842690461) and next prime (842690467).

It is a self number, because there is not a number n which added to its sum of digits gives 842690464.

It is not an unprimeable number, because it can be changed into a prime (842690461) 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, 11559 + ... + 42649.

It is an arithmetic number, because the mean of its divisors is an integer number (28946652).

Almost surely, 2842690464 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 842690464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042079472).

842690464 is an abundant number, since it is smaller than the sum of its proper divisors (1241468480).

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

842690464 is a wasteful number, since it uses less digits than its factorization.

842690464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31130 (or 31111 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 842690464 is about 29029.1312994378. The cubic root of 842690464 is about 944.5450864202.

The spelling of 842690464 in words is "eight hundred forty-two million, six hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 31091 62182 124364 217637 248728 342001 435274 497456 684002 870548 994912 1368004 1741096 2394007 2736008 3482192 3762011 4788014 5472016 6964384 7524022 9576028 10944032 15048044 19152056 26334077 30096088 38304112 52668154 60192176 76608224 105336308 120384352 210672616 421345232 842690464