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10244472 = 2337172211
BaseRepresentation
bin100111000101…
…000101111000
3201021110202220
4213011011320
510110310342
61003324040
7153035160
oct47050570
921243686
1010244472
115867907
123520620
132178c24
1415095a0
15d755ec
hex9c5178

10244472 has 96 divisors (see below), whose sum is σ = 31240320. Its totient is φ = 2741760.

The previous prime is 10244471. The next prime is 10244473. The reversal of 10244472 is 27444201.

It is an interprime number because it is at equal distance from previous prime (10244471) and next prime (10244473).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244471) 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, 48447 + ... + 48657.

It is an arithmetic number, because the mean of its divisors is an integer number (325420).

Almost surely, 210244472 is an apocalyptic number.

10244472 is a gapful number since it is divisible by the number (12) 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 10244472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620160).

10244472 is an abundant number, since it is smaller than the sum of its proper divisors (20995848).

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

10244472 is a wasteful number, since it uses less digits than its factorization.

10244472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 10244472 is about 3200.6986737273. The cubic root of 10244472 is about 217.1850163821.

Adding to 10244472 its reverse (27444201), we get a palindrome (37688673).

The spelling of 10244472 in words is "ten million, two hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 211 238 289 357 408 422 476 578 633 714 844 867 952 1156 1266 1428 1477 1688 1734 2023 2312 2532 2856 2954 3468 3587 4046 4431 5064 5908 6069 6936 7174 8092 8862 10761 11816 12138 14348 16184 17724 21522 24276 25109 28696 35448 43044 48552 50218 60979 75327 86088 100436 121958 150654 182937 200872 243916 301308 365874 426853 487832 602616 731748 853706 1280559 1463496 1707412 2561118 3414824 5122236 10244472