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1006413044 = 227132764871
BaseRepresentation
bin111011111111001…
…010010011110100
32121010202002011012
4323333022103310
54030120204134
6243510531352
733640240550
oct7377122364
92533662135
101006413044
1147710401a
12241066b58
131306741a0
149793a860
155d54b6ce
hex3bfca4f4

1006413044 has 24 divisors (see below), whose sum is σ = 2167659648. Its totient is φ = 398141280.

The previous prime is 1006413043. The next prime is 1006413053. The reversal of 1006413044 is 4403146001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006413041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382072 + ... + 1382799.

It is an arithmetic number, because the mean of its divisors is an integer number (90319152).

Almost surely, 21006413044 is an apocalyptic number.

1006413044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006413044 is an abundant number, since it is smaller than the sum of its proper divisors (1161246604).

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

1006413044 is a wasteful number, since it uses less digits than its factorization.

1006413044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764895 (or 2764893 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1006413044 is about 31724.0136804913. The cubic root of 1006413044 is about 1002.1331278634.

Adding to 1006413044 its reverse (4403146001), we get a palindrome (5409559045).

The spelling of 1006413044 in words is "one billion, six million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 2764871 5529742 11059484 19354097 35943323 38708194 71886646 77416388 143773292 251603261 503206522 1006413044