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4465664 = 2107289
BaseRepresentation
bin10001000010010000000000
322101212201222
4101002100000
52120400124
6235414212
752646300
oct21022000
98355658
104465664
112580135
1215b4368
13c04808
14843600
155d325e
hex442400

4465664 has 66 divisors (see below), whose sum is σ = 10501110. Its totient is φ = 1892352.

The previous prime is 4465661. The next prime is 4465667. The reversal of 4465664 is 4665644.

It is an interprime number because it is at equal distance from previous prime (4465661) and next prime (4465667).

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 1254400 = 1792^2 + 1120^2 .

It is not an unprimeable number, because it can be changed into a prime (4465661) 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, 50132 + ... + 50220.

Almost surely, 24465664 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 4465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250555).

4465664 is an abundant number, since it is smaller than the sum of its proper divisors (6035446).

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

4465664 is an equidigital number, since it uses as much as digits as its factorization.

4465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 4465664 is about 2113.2117735807. The cubic root of 4465664 is about 164.6753825878.

The spelling of 4465664 in words is "four million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 512 623 712 784 896 1024 1246 1424 1568 1792 2492 2848 3136 3584 4361 4984 5696 6272 7168 8722 9968 11392 12544 17444 19936 22784 25088 34888 39872 45568 50176 69776 79744 91136 139552 159488 279104 318976 558208 637952 1116416 2232832 4465664