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4061664 = 25341567
BaseRepresentation
bin1111011111100111100000
321122100120000
433133213200
52014433124
6223020000
746344405
oct17374740
97570500
104061664
112324652
12143a600
13ac2969
1477a2ac
155536c9
hex3df9e0

4061664 has 60 divisors (see below), whose sum is σ = 11952864. Its totient is φ = 1353024.

The previous prime is 4061663. The next prime is 4061669. The reversal of 4061664 is 4661604.

4061664 is a `hidden beast` number, since 40 + 616 + 6 + 4 = 666.

It is a super-2 number, since 2×40616642 = 32994228897792, which contains 22 as substring.

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 (4061663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1809 + ... + 3375.

Almost surely, 24061664 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 4061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976432).

4061664 is an abundant number, since it is smaller than the sum of its proper divisors (7891200).

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

4061664 is a wasteful number, since it uses less digits than its factorization.

4061664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4061664 is about 2015.3570403281. The cubic root of 4061664 is about 159.5516615440.

The spelling of 4061664 in words is "four million, sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1567 2592 3134 4701 6268 9402 12536 14103 18804 25072 28206 37608 42309 50144 56412 75216 84618 112824 126927 150432 169236 225648 253854 338472 451296 507708 676944 1015416 1353888 2030832 4061664