Search a number
-
+
24920192 = 271121609
BaseRepresentation
bin101111100010…
…0000010000000
31201220002002002
41133010002000
522334421232
62250043132
7421550423
oct137040200
951802062
1024920192
1113080a00
1284194a8
135216a9b
1434499ba
1522c3b62
hex17c4080

24920192 has 48 divisors (see below), whose sum is σ = 54603150. Its totient is φ = 11320320.

The previous prime is 24920183. The next prime is 24920221. The reversal of 24920192 is 29102942.

It can be written as a sum of positive squares in only one way, i.e., 14318656 + 10601536 = 3784^2 + 3256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14684 + ... + 16292.

Almost surely, 224920192 is an apocalyptic number.

24920192 is a gapful number since it is divisible by the number (22) 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 24920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27301575).

24920192 is an abundant number, since it is smaller than the sum of its proper divisors (29682958).

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

24920192 is a wasteful number, since it uses less digits than its factorization.

24920192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 24920192 is about 4992.0128204964. The cubic root of 24920192 is about 292.0902954627.

The spelling of 24920192 in words is "twenty-four million, nine hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1609 1936 3218 3872 6436 7744 12872 15488 17699 25744 35398 51488 70796 102976 141592 194689 205952 283184 389378 566368 778756 1132736 1557512 2265472 3115024 6230048 12460096 24920192