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470444112 = 243653761
BaseRepresentation
bin11100000010100…
…110100001010000
31012210020001000000
4130002212201100
51430413202422
6114403130000
714441465115
oct3402464120
91183201000
10470444112
1122160a696
12111673900
13766072c8
14466a090c
152b47acac
hex1c0a6850

470444112 has 140 divisors (see below), whose sum is σ = 1394217684. Its totient is φ = 153653760.

The previous prime is 470444101. The next prime is 470444113. The reversal of 470444112 is 211444074.

It can be written as a sum of positive squares in 2 ways, for example, as 121352256 + 349091856 = 11016^2 + 18684^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470444113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 617812 + ... + 618572.

Almost surely, 2470444112 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 470444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697108842).

470444112 is an abundant number, since it is smaller than the sum of its proper divisors (923773572).

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

470444112 is an equidigital number, since it uses as much as digits as its factorization.

470444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 470444112 is about 21689.7236496918. The cubic root of 470444112 is about 777.7428235599.

Adding to 470444112 its reverse (211444074), we get a palindrome (681888186).

The spelling of 470444112 in words is "four hundred seventy million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 729 761 848 954 972 1272 1296 1431 1458 1522 1908 1944 2283 2544 2862 2916 3044 3816 3888 4293 4566 5724 5832 6088 6849 7632 8586 9132 11448 11664 12176 12879 13698 17172 18264 20547 22896 25758 27396 34344 36528 38637 40333 41094 51516 54792 61641 68688 77274 80666 82188 103032 109584 120999 123282 154548 161332 164376 184923 206064 241998 246564 309096 322664 328752 362997 369846 483996 493128 554769 618192 645328 725994 739692 967992 986256 1088991 1109538 1451988 1479384 1935984 2177982 2219076 2903976 2958768 3266973 4355964 4438152 5807952 6533946 8711928 8876304 9800919 13067892 17423856 19601838 26135784 29402757 39203676 52271568 58805514 78407352 117611028 156814704 235222056 470444112