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10483488 = 253289409
BaseRepresentation
bin100111111111…
…011100100000
3201201121122100
4213333130200
510140432423
61012410400
7155052051
oct47773440
921647570
1010483488
115a10444
123616a00
132230962
14156c728
15dc1343
hex9ff720

10483488 has 72 divisors (see below), whose sum is σ = 30221100. Its totient is φ = 3446784.

The previous prime is 10483483. The next prime is 10483489. The reversal of 10483488 is 88438401.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 63504 = 3228^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×104834882 = 219807041292288, which contains 22 as substring.

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 (10483483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25428 + ... + 25836.

Almost surely, 210483488 is an apocalyptic number.

10483488 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 10483488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110550).

10483488 is an abundant number, since it is smaller than the sum of its proper divisors (19737612).

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

10483488 is a wasteful number, since it uses less digits than its factorization.

10483488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 10483488 is about 3237.8214898292. The cubic root of 10483488 is about 218.8611116613.

The spelling of 10483488 in words is "ten million, four hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 409 534 712 801 818 1068 1227 1424 1602 1636 2136 2454 2848 3204 3272 3681 4272 4908 6408 6544 7362 8544 9816 12816 13088 14724 19632 25632 29448 36401 39264 58896 72802 109203 117792 145604 218406 291208 327609 436812 582416 655218 873624 1164832 1310436 1747248 2620872 3494496 5241744 10483488