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470706768 = 24337155657
BaseRepresentation
bin11100000011100…
…110101001010000
31012210201101022000
4130003212221100
51431000104033
6114412514000
714443640640
oct3403465120
91183641260
10470706768
11221779a64
1211177b900
1376699a1c
144672c520
152b4cda13
hex1c0e6a50

470706768 has 80 divisors (see below), whose sum is σ = 1544127360. Its totient is φ = 134486784.

The previous prime is 470706751. The next prime is 470706781. The reversal of 470706768 is 867607074.

It is a super-2 number, since 2×4707067682 = 443129722882011648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74805 + ... + 80852.

It is an arithmetic number, because the mean of its divisors is an integer number (19301592).

Almost surely, 2470706768 is an apocalyptic number.

470706768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

470706768 is an abundant number, since it is smaller than the sum of its proper divisors (1073420592).

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

470706768 is a wasteful number, since it uses less digits than its factorization.

470706768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155681 (or 155669 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 470706768 is about 21695.7776537279. Note that the first 3 decimals coincide. The cubic root of 470706768 is about 777.8875384568.

The spelling of 470706768 in words is "four hundred seventy million, seven hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 155657 311314 466971 622628 933942 1089599 1245256 1400913 1867884 2179198 2490512 2801826 3268797 3735768 4202739 4358396 5603652 6537594 7471536 8405478 8716792 9806391 11207304 13075188 16810956 17433584 19612782 22414608 26150376 29419173 33621912 39225564 52300752 58838346 67243824 78451128 117676692 156902256 235353384 470706768