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4056464 = 242373151
BaseRepresentation
bin1111011110010110010000
321122002102102
433132112100
52014301324
6222535532
746323266
oct17362620
97562372
104056464
112320755
1214375a8
13ac0499
14778436
15551dae
hex3de590

4056464 has 40 divisors (see below), whose sum is σ = 8368512. Its totient is φ = 1900800.

The previous prime is 4056457. The next prime is 4056467. The reversal of 4056464 is 4646504.

4056464 = 832 + 842 + ... + 2332.

4056464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056467) 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, 26789 + ... + 26939.

Almost surely, 24056464 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 4056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184256).

4056464 is an abundant number, since it is smaller than the sum of its proper divisors (4312048).

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

4056464 is a wasteful number, since it uses less digits than its factorization.

4056464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 4056464 is about 2014.0665331612. The cubic root of 4056464 is about 159.4835430785.

The spelling of 4056464 in words is "four million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 73 92 146 151 184 292 302 368 584 604 1168 1208 1679 2416 3358 3473 6716 6946 11023 13432 13892 22046 26864 27784 44092 55568 88184 176368 253529 507058 1014116 2028232 4056464