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99309852 = 223217263617
BaseRepresentation
bin1011110101101…
…01100100011100
320220212110111200
411322311210130
5200410403402
613504315500
72314056045
oct572654434
9226773450
1099309852
115106aa64
1229312b90
1317761635
14d2918cc
158aba21c
hex5eb591c

99309852 has 72 divisors (see below), whose sum is σ = 267242976. Its totient is φ = 30987264.

The previous prime is 99309839. The next prime is 99309853. The reversal of 99309852 is 25890399.

It is a junction number, because it is equal to n+sod(n) for n = 99309798 and 99309807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99309853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160648 + ... + 161264.

It is an arithmetic number, because the mean of its divisors is an integer number (3711708).

Almost surely, 299309852 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 99309852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133621488).

99309852 is an abundant number, since it is smaller than the sum of its proper divisors (167933124).

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

99309852 is a wasteful number, since it uses less digits than its factorization.

99309852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 99309852 is about 9965.4328556265. The cubic root of 99309852 is about 463.0886230286.

The spelling of 99309852 in words is "ninety-nine million, three hundred nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 263 306 526 612 617 789 1052 1234 1578 1851 2367 2468 3156 3702 4471 4734 5553 7404 8942 9468 10489 11106 13413 17884 20978 22212 26826 31467 40239 41956 53652 62934 80478 94401 125868 160956 162271 188802 324542 377604 486813 649084 973626 1460439 1947252 2758607 2920878 5517214 5841756 8275821 11034428 16551642 24827463 33103284 49654926 99309852