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5633064 = 23348693
BaseRepresentation
bin10101011111010000101000
3101121012010000
4111133100220
52420224224
6320423000
765610633
oct25372050
911535100
105633064
1131a8228
121a77a60
131222c98
14a68c1a
157640c9
hex55f428

5633064 has 40 divisors (see below), whose sum is σ = 15779610. Its totient is φ = 1877472.

The previous prime is 5633059. The next prime is 5633087. The reversal of 5633064 is 4603365.

It can be written as a sum of positive squares in only one way, i.e., 5560164 + 72900 = 2358^2 + 270^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3699 + ... + 4994.

Almost surely, 25633064 is an apocalyptic number.

5633064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5633064 is an abundant number, since it is smaller than the sum of its proper divisors (10146546).

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

5633064 is a wasteful number, since it uses less digits than its factorization.

5633064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5633064 is about 2373.4076767382. The cubic root of 5633064 is about 177.9296106822.

The spelling of 5633064 in words is "five million, six hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 8693 17386 26079 34772 52158 69544 78237 104316 156474 208632 234711 312948 469422 625896 704133 938844 1408266 1877688 2816532 5633064