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24828468 = 2237734049
BaseRepresentation
bin101111010110…
…1101000110100
31201201102020220
41132231220310
522324002333
62244054340
7421016130
oct136555064
951642226
1024828468
1113018aa5
1283943b0
1351b4102
1434243c0
1522a68b3
hex17ada34

24828468 has 48 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 6994944.

The previous prime is 24828467. The next prime is 24828469. The reversal of 24828468 is 86482842.

It is an interprime number because it is at equal distance from previous prime (24828467) and next prime (24828469).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24828467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4108 + ... + 8156.

It is an arithmetic number, because the mean of its divisors is an integer number (1398600).

Almost surely, 224828468 is an apocalyptic number.

24828468 is a gapful number since it is divisible by the number (28) 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 24828468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

24828468 is an abundant number, since it is smaller than the sum of its proper divisors (42304332).

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

24828468 is a wasteful number, since it uses less digits than its factorization.

24828468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4134 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 24828468 is about 4982.8172753975. The cubic root of 24828468 is about 291.7314883228.

The spelling of 24828468 in words is "twenty-four million, eight hundred twenty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 4049 6132 8098 12147 16196 24294 28343 48588 56686 85029 113372 170058 295577 340116 591154 886731 1182308 1773462 2069039 3546924 4138078 6207117 8276156 12414234 24828468