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10457244 = 22327172441
BaseRepresentation
bin100111111001…
…000010011100
3201200021122100
4213321002130
510134112434
61012045100
7154612410
oct47710234
921607570
1010457244
1159a2756
123603790
132221a25
141562d40
15db8699
hex9f909c

10457244 has 72 divisors (see below), whose sum is σ = 31999968. Its totient is φ = 2810880.

The previous prime is 10457243. The next prime is 10457257. The reversal of 10457244 is 44275401.

10457244 = 2072 + 2082 + ... + 3422.

10457244 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3064 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (444444).

Almost surely, 210457244 is an apocalyptic number.

10457244 is a gapful number since it is divisible by the number (14) 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 10457244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999984).

10457244 is an abundant number, since it is smaller than the sum of its proper divisors (21542724).

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

10457244 is a wasteful number, since it uses less digits than its factorization.

10457244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 10457244 is about 3233.7662253169. The cubic root of 10457244 is about 218.6783292824.

It can be divided in two parts, 10457 and 244, that added together give a palindrome (10701).

The spelling of 10457244 in words is "ten million, four hundred fifty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 2441 4284 4882 7323 9764 14646 17087 21969 29292 34174 41497 43938 51261 68348 82994 87876 102522 124491 153783 165988 205044 248982 290479 307566 373473 497964 580958 615132 746946 871437 1161916 1493892 1742874 2614311 3485748 5228622 10457244