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24780028 = 22713193583
BaseRepresentation
bin101111010000…
…1110011111100
31201121221210211
41132201303330
522320430103
62243042204
7420424660
oct136416374
951557724
1024780028
1112a95669
128370364
135198050
1434108a0
15229736d
hex17a1cfc

24780028 has 48 divisors (see below), whose sum is σ = 56197120. Its totient is φ = 9284544.

The previous prime is 24780013. The next prime is 24780071. The reversal of 24780028 is 82008742.

It is a super-2 number, since 2×247800282 = 1228099575361568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5125 + ... + 8707.

Almost surely, 224780028 is an apocalyptic number.

24780028 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 24780028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28098560).

24780028 is an abundant number, since it is smaller than the sum of its proper divisors (31417092).

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

24780028 is a wasteful number, since it uses less digits than its factorization.

24780028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 24780028 is about 4977.9541982626. The cubic root of 24780028 is about 291.5416434322.

It can be divided in two parts, 247 and 80028, that multiplied together give a square (19766916 = 44462).

The spelling of 24780028 in words is "twenty-four million, seven hundred eighty thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 3458 3583 6916 7166 14332 25081 46579 50162 68077 93158 100324 136154 186316 272308 326053 476539 652106 885001 953078 1304212 1770002 1906156 3540004 6195007 12390014 24780028