Search a number
-
+
10498944 = 273191439
BaseRepresentation
bin101000000011…
…001110000000
3201202101211210
4220003032000
510141431234
61013010120
7155145111
oct50031600
921671753
1010498944
115a21015
123623940
1322379c1
141574208
15dc5be9
hexa03380

10498944 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3313152.

The previous prime is 10498937. The next prime is 10498949. The reversal of 10498944 is 44989401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104989442 = 220455650230272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10498949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6577 + ... + 8015.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 210498944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10498944 is an abundant number, since it is smaller than the sum of its proper divisors (18877056).

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

10498944 is a wasteful number, since it uses less digits than its factorization.

10498944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 10498944 is about 3240.2074007693. The cubic root of 10498944 is about 218.9686158400.

The spelling of 10498944 in words is "ten million, four hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1439 1824 2432 2878 3648 4317 5756 7296 8634 11512 17268 23024 27341 34536 46048 54682 69072 82023 92096 109364 138144 164046 184192 218728 276288 328092 437456 552576 656184 874912 1312368 1749824 2624736 3499648 5249472 10498944