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645796224 = 273237109139
BaseRepresentation
bin100110011111100…
…001000110000000
31200000011211212200
4212133201012000
52310310434344
6144025353200
722001114553
oct4637410600
91600154780
10645796224
11301598297
12160338800
13a3a41758
1461aa869a
153ba67069
hex267e1180

645796224 has 192 divisors, whose sum is σ = 1939938000. Its totient is φ = 206032896.

The previous prime is 645796219. The next prime is 645796271. The reversal of 645796224 is 422697546.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 645796224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645947 + ... + 4646085.

Almost surely, 2645796224 is an apocalyptic number.

645796224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969969000).

645796224 is an abundant number, since it is smaller than the sum of its proper divisors (1294141776).

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

645796224 is a wasteful number, since it uses less digits than its factorization.

645796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 645796224 is about 25412.5210083533. The cubic root of 645796224 is about 864.3676418959.

The spelling of 645796224 in words is "six hundred forty-five million, seven hundred ninety-six thousand, two hundred twenty-four".