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4426464 = 25372941
BaseRepresentation
bin10000111000101011100000
322022212222010
4100320223200
52113121324
6234512520
752424100
oct20705340
98285863
104426464
112553739
121595740
13bbca13
14833200
155c6829
hex438ae0

4426464 has 72 divisors (see below), whose sum is σ = 13530888. Its totient is φ = 1263360.

The previous prime is 4426451. The next prime is 4426481. The reversal of 4426464 is 4646244.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4234 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (187929).

Almost surely, 24426464 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 4426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765444).

4426464 is an abundant number, since it is smaller than the sum of its proper divisors (9104424).

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

4426464 is a wasteful number, since it uses less digits than its factorization.

4426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4426464 is about 2103.9163481470. The cubic root of 4426464 is about 164.1921206749.

The spelling of 4426464 in words is "four million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 941 1176 1568 1882 2352 2823 3764 4704 5646 6587 7528 11292 13174 15056 19761 22584 26348 30112 39522 45168 46109 52696 79044 90336 92218 105392 138327 158088 184436 210784 276654 316176 368872 553308 632352 737744 1106616 1475488 2213232 4426464