Search a number
-
+
99796050 = 2345241601
BaseRepresentation
bin1011111001011…
…00010001010010
320221210011110000
411330230101102
5201021433200
613522550430
72321152404
oct574542122
9227704400
1099796050
1151372282
1229508416
13178a1a23
14d37ab74
158b64300
hex5f2c452

99796050 has 120 divisors (see below), whose sum is σ = 284520852. Its totient is φ = 25920000.

The previous prime is 99796049. The next prime is 99796079. The reversal of 99796050 is 5069799.

It can be written as a sum of positive squares in 6 ways, for example, as 27154521 + 72641529 = 5211^2 + 8523^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 99795987 and 99796005.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 165750 + ... + 166350.

Almost surely, 299796050 is an apocalyptic number.

99796050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99796050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142260426).

99796050 is an abundant number, since it is smaller than the sum of its proper divisors (184724802).

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

99796050 is a wasteful number, since it uses less digits than its factorization.

99796050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 99796050 is about 9989.7972952408. The cubic root of 99796050 is about 463.8431179151.

The spelling of 99796050 in words is "ninety-nine million, seven hundred ninety-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 81 82 90 123 135 150 162 205 225 246 270 369 405 410 450 601 615 675 738 810 1025 1107 1202 1230 1350 1803 1845 2025 2050 2214 3005 3075 3321 3606 3690 4050 5409 5535 6010 6150 6642 9015 9225 10818 11070 15025 16227 16605 18030 18450 24641 27045 27675 30050 32454 33210 45075 48681 49282 54090 55350 73923 81135 83025 90150 97362 123205 135225 147846 162270 166050 221769 243405 246410 270450 369615 405675 443538 486810 616025 665307 739230 811350 1108845 1217025 1232050 1330614 1848075 1995921 2217690 2434050 3326535 3696150 3991842 5544225 6653070 9979605 11088450 16632675 19959210 33265350 49898025 99796050