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10457748 = 223572953
BaseRepresentation
bin100111111001…
…001010010100
3201200022100000
4213321022110
510134121443
61012051300
7154614030
oct47711224
921608300
1010457748
1159a3074
123603b30
132222022
1415631c0
15db88d3
hex9f9294

10457748 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2830464.

The previous prime is 10457731. The next prime is 10457749. The reversal of 10457748 is 84775401.

10457748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197290 + ... + 197342.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 210457748 is an apocalyptic number.

10457748 is a gapful number since it is divisible by the number (18) 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 10457748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10457748 is an abundant number, since it is smaller than the sum of its proper divisors (22564332).

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

10457748 is a wasteful number, since it uses less digits than its factorization.

10457748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 10457748 is about 3233.8441520890. The cubic root of 10457748 is about 218.6818423849.

It can be divided in two parts, 104577 and 48, that multiplied together give a triangular number (5019696 = T3168).

The spelling of 10457748 in words is "ten million, four hundred fifty-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 53 54 58 63 81 84 87 106 108 116 126 159 162 174 189 203 212 243 252 261 318 324 348 371 378 406 477 486 522 567 609 636 742 756 783 812 954 972 1044 1113 1134 1218 1431 1484 1537 1566 1701 1827 1908 2226 2268 2349 2436 2862 3074 3132 3339 3402 3654 4293 4452 4611 4698 5481 5724 6148 6678 6804 7047 7308 8586 9222 9396 10017 10759 10962 12879 13356 13833 14094 16443 17172 18444 20034 21518 21924 25758 27666 28188 30051 32277 32886 40068 41499 43036 49329 51516 55332 60102 64554 65772 82998 90153 96831 98658 120204 124497 129108 165996 180306 193662 197316 248994 290493 360612 373491 387324 497988 580986 746982 871479 1161972 1493964 1742958 2614437 3485916 5228874 10457748