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24712968 = 2337172509
BaseRepresentation
bin101111001000…
…1011100001000
31201111112211010
41132101130020
522311303333
62241403520
7420025320
oct136213410
951445733
1024712968
1112a4a245
1283395a0
135173677
1433d4280
152282563
hex1791708

24712968 has 96 divisors (see below), whose sum is σ = 75153600. Its totient is φ = 6632448.

The previous prime is 24712967. The next prime is 24712969. The reversal of 24712968 is 86921742.

It is an interprime number because it is at equal distance from previous prime (24712967) and next prime (24712969).

It is a super-2 number, since 2×247129682 = 1221461574738048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24712967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48298 + ... + 48806.

It is an arithmetic number, because the mean of its divisors is an integer number (782850).

Almost surely, 224712968 is an apocalyptic number.

24712968 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 24712968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37576800).

24712968 is an abundant number, since it is smaller than the sum of its proper divisors (50440632).

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

24712968 is a wasteful number, since it uses less digits than its factorization.

24712968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 24712968 is about 4971.2139362534. The cubic root of 24712968 is about 291.2784147095.

The spelling of 24712968 in words is "twenty-four million, seven hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 476 509 578 714 867 952 1018 1156 1428 1527 1734 2023 2036 2312 2856 3054 3468 3563 4046 4072 6069 6108 6936 7126 8092 8653 10689 12138 12216 14252 16184 17306 21378 24276 25959 28504 34612 42756 48552 51918 60571 69224 85512 103836 121142 147101 181713 207672 242284 294202 363426 441303 484568 588404 726852 882606 1029707 1176808 1453704 1765212 2059414 3089121 3530424 4118828 6178242 8237656 12356484 24712968