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83250960 = 24351326683
BaseRepresentation
bin1001111011001…
…00111100010000
312210122120211220
410331210330100
5132303012320
612132205040
72030423112
oct475447420
9183576756
1083250960
1142aa1751
1223a69780
131432b030
14b0b13b2
157496e40
hex4f64f10

83250960 has 80 divisors (see below), whose sum is σ = 277940544. Its totient is φ = 20491776.

The previous prime is 83250953. The next prime is 83250991. The reversal of 83250960 is 6905238.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10222 + ... + 16461.

Almost surely, 283250960 is an apocalyptic number.

83250960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83250960 is an abundant number, since it is smaller than the sum of its proper divisors (194689584).

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

83250960 is a wasteful number, since it uses less digits than its factorization.

83250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26712 (or 26706 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83250960 is about 9124.1964029716. The cubic root of 83250960 is about 436.6462654520.

The spelling of 83250960 in words is "eighty-three million, two hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 26683 53366 80049 106732 133415 160098 213464 266830 320196 346879 400245 426928 533660 640392 693758 800490 1040637 1067320 1280784 1387516 1600980 1734395 2081274 2134640 2775032 3201960 3468790 4162548 5203185 5550064 6403920 6937580 8325096 10406370 13875160 16650192 20812740 27750320 41625480 83250960