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8225424 = 24322392
BaseRepresentation
bin11111011000001010010000
3120110220011100
4133120022100
54101203144
6452144400
7126625554
oct37301220
916426140
108225424
114708979
122908100
13191cc1c
141141864
15ac7269
hex7d8290

8225424 has 45 divisors (see below), whose sum is σ = 23116483. Its totient is φ = 2730336.

The previous prime is 8225407. The next prime is 8225429. The reversal of 8225424 is 4245228.

It is a happy number.

The square root of 8225424 is 2868.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8225429) 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, 34297 + ... + 34535.

Almost surely, 28225424 is an apocalyptic number.

8225424 is the 2868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8225424

8225424 is an abundant number, since it is smaller than the sum of its proper divisors (14891059).

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

8225424 is a wasteful number, since it uses less digits than its factorization.

8225424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 244 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The cubic root of 8225424 is about 201.8611600259.

It can be divided in two parts, 8225 and 424, that added together give a square (8649 = 932).

The spelling of 8225424 in words is "eight million, two hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 5736 8604 11472 17208 34416 57121 114242 171363 228484 342726 456968 514089 685452 913936 1028178 1370904 2056356 2741808 4112712 8225424