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8363664 = 24322412
BaseRepresentation
bin11111111001111010010000
3120201220210100
4133321322100
54120114124
6455132400
7131042601
oct37717220
916656710
108363664
1147a2821
122974100
13196ab1a
141179da8
15b031c9
hex7f9e90

8363664 has 45 divisors (see below), whose sum is σ = 23504169. Its totient is φ = 2776320.

The previous prime is 8363653. The next prime is 8363669. The reversal of 8363664 is 4663638.

Multipling 8363664 by its sum of digits (36), we get a square (301091904 = 173522).

8363664 divided by its sum of digits (36) gives a square (232324 = 4822).

The square root of 8363664 is 2892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 2073600 = 2508^2 + 1440^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8363669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34584 + ... + 34824.

Almost surely, 28363664 is an apocalyptic number.

8363664 is the 2892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8363664

8363664 is an abundant number, since it is smaller than the sum of its proper divisors (15140505).

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

8363664 is a wasteful number, since it uses less digits than its factorization.

8363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 8363664 is about 202.9857383592.

The spelling of 8363664 in words is "eight million, three hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3856 4338 5784 8676 11568 17352 34704 58081 116162 174243 232324 348486 464648 522729 696972 929296 1045458 1393944 2090916 2787888 4181832 8363664