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472026048 = 26313281673
BaseRepresentation
bin11100001000101…
…000101111000000
31012220012102000020
4130020220233000
51431314313143
6114501053440
714461104144
oct3410505700
91186172006
10472026048
112224a017a
121120b7280
1376a3c370
1446993224
152b68e883
hex1c228bc0

472026048 has 112 divisors (see below), whose sum is σ = 1351763616. Its totient is φ = 144506880.

The previous prime is 472026047. The next prime is 472026059. The reversal of 472026048 is 840620274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472026041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701040 + ... + 701712.

It is an arithmetic number, because the mean of its divisors is an integer number (12069318).

Almost surely, 2472026048 is an apocalyptic number.

472026048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675881808).

472026048 is an abundant number, since it is smaller than the sum of its proper divisors (879737568).

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

472026048 is a wasteful number, since it uses less digits than its factorization.

472026048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 472026048 is about 21726.1604523211. The cubic root of 472026048 is about 778.6136056189.

The spelling of 472026048 in words is "four hundred seventy-two million, twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 281 312 416 562 624 673 832 843 1124 1248 1346 1686 2019 2248 2496 2692 3372 3653 4038 4496 5384 6744 7306 8076 8749 8992 10768 10959 13488 14612 16152 17498 17984 21536 21918 26247 26976 29224 32304 34996 43072 43836 52494 53952 58448 64608 69992 87672 104988 116896 129216 139984 175344 189113 209976 233792 279968 350688 378226 419952 559936 567339 701376 756452 839904 1134678 1512904 1679808 2269356 2458469 3025808 4538712 4916938 6051616 7375407 9077424 9833876 12103232 14750814 18154848 19667752 29501628 36309696 39335504 59003256 78671008 118006512 157342016 236013024 472026048