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945685504 = 210314
BaseRepresentation
bin111000010111100…
…000010000000000
32102220110210122001
4320113200100000
53414043414004
6233501153344
732302123411
oct7027402000
92386423561
10945685504
114458a6575
1222485b854
13120c0102a
148d84d808
15580531a4
hex385e0400

945685504 has 55 divisors (see below), whose sum is σ = 1953462335. Its totient is φ = 457589760.

The previous prime is 945685441. The next prime is 945685511. The reversal of 945685504 is 405586549.

The square root of 945685504 is 30752.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=124.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 30505969 + ... + 30505999.

It is an arithmetic number, because the mean of its divisors is an integer number (35517497).

Almost surely, 2945685504 is an apocalyptic number.

945685504 is the 30752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945685504

945685504 is an abundant number, since it is smaller than the sum of its proper divisors (1007776831).

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

945685504 is an frugal number, since it uses more digits than its factorization.

945685504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The cubic root of 945685504 is about 981.5571192007.

The spelling of 945685504 in words is "nine hundred forty-five million, six hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1922 1984 3844 3968 7688 7936 15376 15872 29791 30752 31744 59582 61504 119164 123008 238328 246016 476656 492032 923521 953312 984064 1847042 1906624 3694084 3813248 7388168 7626496 14776336 15252992 29552672 30505984 59105344 118210688 236421376 472842752 945685504