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4390464 = 263131759
BaseRepresentation
bin10000101111111001000000
322021001120210
4100233321000
52110443324
6234034120
752214121
oct20577100
98231523
104390464
112529691
121578940
13ba9510
14824048
155bad29
hex42fe40

4390464 has 56 divisors (see below), whose sum is σ = 12517120. Its totient is φ = 1350144.

The previous prime is 4390453. The next prime is 4390469. The reversal of 4390464 is 4640934.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4390469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (223520).

Almost surely, 24390464 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 4390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258560).

4390464 is an abundant number, since it is smaller than the sum of its proper divisors (8126656).

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

4390464 is a wasteful number, since it uses less digits than its factorization.

4390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4390464 is about 2095.3434086087. The cubic root of 4390464 is about 163.7457889871.

The spelling of 4390464 in words is "four million, three hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1759 2496 3518 5277 7036 10554 14072 21108 22867 28144 42216 45734 56288 68601 84432 91468 112576 137202 168864 182936 274404 337728 365872 548808 731744 1097616 1463488 2195232 4390464