Search a number
-
+
99951912 = 233213710133
BaseRepresentation
bin1011111010100…
…10010100101000
320222002002020200
411331102110220
5201041430122
613530152200
72322401664
oct575222450
9228062220
1099951912
1151469395
1229582660
1317927958
14d3bb8a4
158b955ac
hex5f52528

99951912 has 48 divisors (see below), whose sum is σ = 272705940. Its totient is φ = 33070848.

The previous prime is 99951899. The next prime is 99951919. The reversal of 99951912 is 21915999.

It can be written as a sum of positive squares in 2 ways, for example, as 95765796 + 4186116 = 9786^2 + 2046^2 .

It is not an unprimeable number, because it can be changed into a prime (99951919) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4798 + ... + 14930.

Almost surely, 299951912 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 99951912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136352970).

99951912 is an abundant number, since it is smaller than the sum of its proper divisors (172754028).

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

99951912 is a wasteful number, since it uses less digits than its factorization.

99951912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10275 counting only the distinct ones).

The product of its digits is 65610, while the sum is 45.

The square root of 99951912 is about 9997.5953108735. The cubic root of 99951912 is about 464.0844698574.

The spelling of 99951912 in words is "ninety-nine million, nine hundred fifty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 10133 20266 30399 40532 60798 81064 91197 121596 182394 243192 364788 729576 1388221 2776442 4164663 5552884 8329326 11105768 12493989 16658652 24987978 33317304 49975956 99951912