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1038969480 = 233515755147
BaseRepresentation
bin111101111011010…
…110101010001000
32200102000010012010
4331323112222020
54111434010410
6251032415520
734514044353
oct7573265210
92612003163
101038969480
1149352016a
1224bb475a0
13137332953
149bdb329a
156132cc20
hex3ded6a88

1038969480 has 64 divisors (see below), whose sum is σ = 3136818240. Its totient is φ = 275288832.

The previous prime is 1038969473. The next prime is 1038969497. The reversal of 1038969480 is 849698301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8734 + ... + 46413.

It is an arithmetic number, because the mean of its divisors is an integer number (49012785).

Almost surely, 21038969480 is an apocalyptic number.

1038969480 is a gapful number since it is divisible by the number (10) 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 1038969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568409120).

1038969480 is an abundant number, since it is smaller than the sum of its proper divisors (2097848760).

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

1038969480 is a wasteful number, since it uses less digits than its factorization.

1038969480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55318 (or 55314 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1038969480 is about 32233.0494989227. The cubic root of 1038969480 is about 1012.8246518736.

The spelling of 1038969480 in words is "one billion, thirty-eight million, nine hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 55147 110294 165441 220588 275735 330882 441176 551470 661764 827205 1102940 1323528 1654410 2205880 3308820 6617640 8658079 17316158 25974237 34632316 43290395 51948474 69264632 86580790 103896948 129871185 173161580 207793896 259742370 346323160 519484740 1038969480