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99995352 = 233231071693
BaseRepresentation
bin1011111010111…
…00111011011000
320222011021211120
411331130323120
5201044322402
613531125240
72322642432
oct575347330
9228137746
1099995352
1151498a96
12295a3820
1317941662
14d3cd652
158ba33bc
hex5f5ced8

99995352 has 64 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 31565952.

The previous prime is 99995317. The next prime is 99995407. The reversal of 99995352 is 25359999.

It is a junction number, because it is equal to n+sod(n) for n = 99995295 and 99995304.

It is a congruent number.

It is an unprimeable number.

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, 58218 + ... + 59910.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 299995352 is an apocalyptic number.

99995352 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99995352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

99995352 is an abundant number, since it is smaller than the sum of its proper divisors (163455528).

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

99995352 is a wasteful number, since it uses less digits than its factorization.

99995352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1828 counting only the distinct ones).

The product of its digits is 984150, while the sum is 51.

The square root of 99995352 is about 9999.7675972994. The cubic root of 99995352 is about 464.1516918816.

It can be divided in two parts, 9999 and 5352, that added together give a palindrome (15351).

The spelling of 99995352 in words is "ninety-nine million, nine hundred ninety-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 107 138 184 214 276 321 428 552 642 856 1284 1693 2461 2568 3386 4922 5079 6772 7383 9844 10158 13544 14766 19688 20316 29532 38939 40632 59064 77878 116817 155756 181151 233634 311512 362302 467268 543453 724604 934536 1086906 1449208 2173812 4166473 4347624 8332946 12499419 16665892 24998838 33331784 49997676 99995352