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5464656 = 2432137277
BaseRepresentation
bin10100110110001001010000
3101021122002200
4110312021100
52344332111
6313043200
764306641
oct24661120
911248080
105464656
1130a274a
1219b6500
131194432
14a236c8
1572e256
hex536250

5464656 has 60 divisors (see below), whose sum is σ = 15460692. Its totient is φ = 1801728.

The previous prime is 5464651. The next prime is 5464661. The reversal of 5464656 is 6564645.

It is a happy number.

5464656 is a `hidden beast` number, since 5 + 4 + 646 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5464651) and next prime (5464661).

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 3459600 = 1416^2 + 1860^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5464656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5464651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19590 + ... + 19866.

Almost surely, 25464656 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 5464656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730346).

5464656 is an abundant number, since it is smaller than the sum of its proper divisors (9996036).

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

5464656 is a wasteful number, since it uses less digits than its factorization.

5464656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5464656 is about 2337.6603688303. The cubic root of 5464656 is about 176.1384929209.

The spelling of 5464656 in words is "five million, four hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 277 411 548 554 822 831 1096 1108 1233 1644 1662 2192 2216 2466 2493 3288 3324 4432 4932 4986 6576 6648 9864 9972 13296 19728 19944 37949 39888 75898 113847 151796 227694 303592 341541 455388 607184 683082 910776 1366164 1821552 2732328 5464656