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8250264 = 2332112947
BaseRepresentation
bin11111011110001110011000
3120112011020100
4133132032120
54103002024
6452455400
7130061151
oct37361630
916464210
108250264
114725600
12291a560
13192b319
14114a928
15ace7c9
hex7de398

8250264 has 72 divisors (see below), whose sum is σ = 24586380. Its totient is φ = 2497440.

The previous prime is 8250259. The next prime is 8250269. The reversal of 8250264 is 4620528.

It is an interprime number because it is at equal distance from previous prime (8250259) and next prime (8250269).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8250269) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8239 + ... + 9185.

Almost surely, 28250264 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 8250264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293190).

8250264 is an abundant number, since it is smaller than the sum of its proper divisors (16336116).

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

8250264 is a wasteful number, since it uses less digits than its factorization.

8250264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8250264 is about 2872.3272794025. The cubic root of 8250264 is about 202.0641563361.

The spelling of 8250264 in words is "eight million, two hundred fifty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 947 968 1089 1452 1894 2178 2841 2904 3788 4356 5682 7576 8523 8712 10417 11364 17046 20834 22728 31251 34092 41668 62502 68184 83336 93753 114587 125004 187506 229174 250008 343761 375012 458348 687522 750024 916696 1031283 1375044 2062566 2750088 4125132 8250264