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906490468 = 2213293119391
BaseRepresentation
bin110110000001111…
…111001001100100
32100011201111011001
4312001333021210
53324030143333
6225541123044
731315020232
oct6601771144
92304644131
10906490468
11425765784
122136b9484
13115a599c0
1488569952
15548aeb7d
hex3607f264

906490468 has 48 divisors (see below), whose sum is σ = 1824399360. Its totient is φ = 390902400.

The previous prime is 906490451. The next prime is 906490471. The reversal of 906490468 is 864094609.

906490468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 37053 + ... + 56443.

It is an arithmetic number, because the mean of its divisors is an integer number (38008320).

Almost surely, 2906490468 is an apocalyptic number.

It is an amenable number.

906490468 is an abundant number, since it is smaller than the sum of its proper divisors (917908892).

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

906490468 is a wasteful number, since it uses less digits than its factorization.

906490468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19468 (or 19466 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 906490468 is about 30107.9801381627. The cubic root of 906490468 is about 967.8047454118.

The spelling of 906490468 in words is "nine hundred six million, four hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 4 13 26 29 31 52 58 62 116 124 377 403 754 806 899 1508 1612 1798 3596 11687 19391 23374 38782 46748 77564 252083 504166 562339 601121 1008332 1124678 1202242 2249356 2404484 7310407 7814573 14620814 15629146 17432509 29241628 31258292 34865018 69730036 226622617 453245234 906490468