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10149048 = 23327131549
BaseRepresentation
bin100110101101…
…110010111000
3201002121212200
4212231302320
510044232143
61001310200
7152160030
oct46556270
921077780
1010149048
115802148
123495360
132144670
1414c28c0
15d571d3
hex9adcb8

10149048 has 96 divisors (see below), whose sum is σ = 33852000. Its totient is φ = 2674944.

The previous prime is 10149019. The next prime is 10149053. The reversal of 10149048 is 84094101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5778 + ... + 7326.

It is an arithmetic number, because the mean of its divisors is an integer number (352625).

Almost surely, 210149048 is an apocalyptic number.

10149048 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 10149048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926000).

10149048 is an abundant number, since it is smaller than the sum of its proper divisors (23702952).

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

10149048 is a wasteful number, since it uses less digits than its factorization.

10149048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10149048 is about 3185.7570528840. The cubic root of 10149048 is about 216.5085752746.

The spelling of 10149048 in words is "ten million, one hundred forty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1549 1638 2184 3098 3276 4647 6196 6552 9294 10843 12392 13941 18588 20137 21686 27882 32529 37176 40274 43372 55764 60411 65058 80548 86744 97587 111528 120822 130116 140959 161096 181233 195174 241644 260232 281918 362466 390348 422877 483288 563836 724932 780696 845754 1127672 1268631 1449864 1691508 2537262 3383016 5074524 10149048