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96264750 = 2353373469
BaseRepresentation
bin1011011110011…
…10001000101110
320201010202102010
411233032020232
5144120433000
613315142050
72246144151
oct557161056
9221122363
1096264750
114a38014a
12282a4926
1316c365ba
14cadbc98
1586b7d50
hex5bce22e

96264750 has 64 divisors (see below), whose sum is σ = 246841920. Its totient is φ = 24969600.

The previous prime is 96264731. The next prime is 96264757. The reversal of 96264750 is 5746269.

96264750 is a nontrivial binomial coefficient, being equal to C(13876, 2).

It is a junction number, because it is equal to n+sod(n) for n = 96264699 and 96264708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96264757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26016 + ... + 29484.

It is an arithmetic number, because the mean of its divisors is an integer number (3856905).

Almost surely, 296264750 is an apocalyptic number.

96264750 is the 13875-th triangular number and also the 6938-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96264750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123420960).

96264750 is an abundant number, since it is smaller than the sum of its proper divisors (150577170).

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

96264750 is a wasteful number, since it uses less digits than its factorization.

96264750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 96264750 is about 9811.4601359838. The cubic root of 96264750 is about 458.3062316390.

The spelling of 96264750 in words is "ninety-six million, two hundred sixty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 125 150 185 222 250 370 375 555 750 925 1110 1850 2775 3469 4625 5550 6938 9250 10407 13875 17345 20814 27750 34690 52035 86725 104070 128353 173450 256706 260175 385059 433625 520350 641765 770118 867250 1283530 1300875 1925295 2601750 3208825 3850590 6417650 9626475 16044125 19252950 32088250 48132375 96264750