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470435424 = 25317288257
BaseRepresentation
bin11100000010100…
…100011001100000
31012210012121002020
4130002210121200
51430412413144
6114403021440
714441430564
oct3402443140
91183177066
10470435424
11221604108
1211166a880
1376603374
144669b6a4
152b478419
hex1c0a4660

470435424 has 48 divisors (see below), whose sum is σ = 1307538288. Its totient is φ = 147587072.

The previous prime is 470435423. The next prime is 470435429. The reversal of 470435424 is 424534074.

It is a tau number, because it is divible by the number of its divisors (48).

470435424 is a modest number, since divided by 35424 gives 4704 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470435423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142497 + ... + 145760.

It is an arithmetic number, because the mean of its divisors is an integer number (27240381).

Almost surely, 2470435424 is an apocalyptic number.

It is an amenable number.

470435424 is an abundant number, since it is smaller than the sum of its proper divisors (837102864).

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

470435424 is a wasteful number, since it uses less digits than its factorization.

470435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288287 (or 288279 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 470435424 is about 21689.5233695902. The cubic root of 470435424 is about 777.7380358348.

Adding to 470435424 its reverse (424534074), we get a palindrome (894969498).

The spelling of 470435424 in words is "four hundred seventy million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 288257 576514 864771 1153028 1729542 2306056 3459084 4612112 4900369 6918168 9224224 9800738 13836336 14701107 19601476 27672672 29402214 39202952 58804428 78405904 117608856 156811808 235217712 470435424