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5164416 = 27324483
BaseRepresentation
bin10011101100110110000000
3100201101020200
4103230312000
52310230131
6302405200
761616415
oct23546600
910641220
105164416
112a08114
121890800
1310ba88a
1498610c
156c02e6
hex4ecd80

5164416 has 48 divisors (see below), whose sum is σ = 14864460. Its totient is φ = 1721088.

The previous prime is 5164387. The next prime is 5164417. The reversal of 5164416 is 6144615.

5164416 is a `hidden beast` number, since 5 + 1 + 644 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5164416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1090 + ... + 3393.

Almost surely, 25164416 is an apocalyptic number.

It is an amenable number.

5164416 is an abundant number, since it is smaller than the sum of its proper divisors (9700044).

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

5164416 is a wasteful number, since it uses less digits than its factorization.

5164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4488 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5164416 is about 2272.5351482430. The cubic root of 5164416 is about 172.8517334815.

The spelling of 5164416 in words is "five million, one hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4483 8966 13449 17932 26898 35864 40347 53796 71728 80694 107592 143456 161388 215184 286912 322776 430368 573824 645552 860736 1291104 1721472 2582208 5164416