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2470468 = 2271113617
BaseRepresentation
bin1001011011001001000100
311122111211211
421123021010
51113023333
6124541204
726666350
oct11331104
94574754
102470468
111438110
129b1804
13686620
14484460
1533becd
hex25b244

2470468 has 48 divisors (see below), whose sum is σ = 5814144. Its totient is φ = 887040.

The previous prime is 2470463. The next prime is 2470471. The reversal of 2470468 is 8640742.

2470468 is nontrivially palindromic in base 9.

It is a super-3 number, since 3×24704683 = 45233370860011029696, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2470463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3696 + ... + 4312.

It is an arithmetic number, because the mean of its divisors is an integer number (121128).

22470468 is an apocalyptic number.

2470468 is a gapful number since it is divisible by the number (28) 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 2470468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907072).

2470468 is an abundant number, since it is smaller than the sum of its proper divisors (3343676).

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

2470468 is a wasteful number, since it uses less digits than its factorization.

2470468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2470468 is about 1571.7722481327. The cubic root of 2470468 is about 135.1843480591.

It can be divided in two parts, 2470 and 468, that multiplied together give a triangular number (1155960 = T1520).

The spelling of 2470468 in words is "two million, four hundred seventy thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 617 1001 1234 2002 2468 4004 4319 6787 8021 8638 13574 16042 17276 27148 32084 47509 56147 88231 95018 112294 176462 190036 224588 352924 617617 1235234 2470468