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96200052 = 223131813407
BaseRepresentation
bin1011011101111…
…10010101110100
320201000110122220
411232332111310
5144111400202
613313522340
72245454424
oct556762564
9221013586
1096200052
114a336583
12282733b0
1316c13010
14cac2484
1586a3abc
hex5bbe574

96200052 has 48 divisors (see below), whose sum is σ = 243140352. Its totient is φ = 29427840.

The previous prime is 96200051. The next prime is 96200077. The reversal of 96200052 is 25000269.

It is a junction number, because it is equal to n+sod(n) for n = 96199995 and 96200031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26533 + ... + 29939.

It is an arithmetic number, because the mean of its divisors is an integer number (5065424).

Almost surely, 296200052 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 96200052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121570176).

96200052 is an abundant number, since it is smaller than the sum of its proper divisors (146940300).

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

96200052 is a wasteful number, since it uses less digits than its factorization.

96200052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 96200052 is about 9808.1625190450. The cubic root of 96200052 is about 458.2035351974.

The spelling of 96200052 in words is "ninety-six million, two hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 2172 2353 3407 4706 6814 7059 9412 10221 13628 14118 20442 28236 40884 44291 88582 132873 177164 265746 531492 616667 1233334 1850001 2466668 3700002 7400004 8016671 16033342 24050013 32066684 48100026 96200052