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920437664 = 251710316427
BaseRepresentation
bin110110110111001…
…100001110100000
32101010222002002212
4312313030032200
53341113001124
6231200101252
731544406506
oct6667141640
92333862085
10920437664
11432621493
12218304828
13118901093
148a35a676
1555c1740e
hex36dcc3a0

920437664 has 48 divisors (see below), whose sum is σ = 1937452608. Its totient is φ = 428915712.

The previous prime is 920437657. The next prime is 920437673. The reversal of 920437664 is 466734029.

920437664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47819 + ... + 64245.

It is an arithmetic number, because the mean of its divisors is an integer number (40363596).

Almost surely, 2920437664 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 920437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968726304).

920437664 is an abundant number, since it is smaller than the sum of its proper divisors (1017014944).

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

920437664 is a wasteful number, since it uses less digits than its factorization.

920437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16557 (or 16549 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 920437664 is about 30338.7155957532. The cubic root of 920437664 is about 972.7430289849.

The spelling of 920437664 in words is "nine hundred twenty million, four hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 103 136 206 272 412 544 824 1648 1751 3296 3502 7004 14008 16427 28016 32854 56032 65708 131416 262832 279259 525664 558518 1117036 1691981 2234072 3383962 4468144 6767924 8936288 13535848 27071696 28763677 54143392 57527354 115054708 230109416 460218832 920437664