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2469198852 = 2232295940087
BaseRepresentation
bin1001001100101100…
…1111110000000100
320101002020022001100
42103023033300010
520024103330402
61045003300100
7115121562321
oct22313176004
96332208040
102469198852
11105788670a
1258ab1a630
13304736913
14195d13b48
15e6b9471c
hex932cfc04

2469198852 has 72 divisors (see below), whose sum is σ = 6566414400. Its totient is φ = 781195968.

The previous prime is 2469198841. The next prime is 2469198857. The reversal of 2469198852 is 2588919642.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2469198857) 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, 41553 + ... + 81639.

It is an arithmetic number, because the mean of its divisors is an integer number (91200200).

Almost surely, 22469198852 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 2469198852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283207200).

2469198852 is an abundant number, since it is smaller than the sum of its proper divisors (4097215548).

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

2469198852 is a wasteful number, since it uses less digits than its factorization.

2469198852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40185 (or 40180 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 2469198852 is about 49691.0339196117. The cubic root of 2469198852 is about 1351.6119477623.

The spelling of 2469198852 in words is "two billion, four hundred sixty-nine million, one hundred ninety-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 59 87 116 118 174 177 236 261 348 354 522 531 708 1044 1062 1711 2124 3422 5133 6844 10266 15399 20532 30798 40087 61596 80174 120261 160348 240522 360783 481044 721566 1162523 1443132 2325046 2365133 3487569 4650092 4730266 6975138 7095399 9460532 10462707 13950276 14190798 20925414 21286197 28381596 41850828 42572394 68588857 85144788 137177714 205766571 274355428 411533142 617299713 823066284 1234599426 2469198852