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1148938816 = 261922232
BaseRepresentation
bin100010001111011…
…0110101001000000
32222001221010202111
41010132312221000
54323112020231
6310001425104
740320550564
oct10436665100
92861833674
101148938816
1153a600813
1228093b194
1315405706c
14ac83b6a4
156ad014b1
hex447b6a40

1148938816 has 63 divisors (see below), whose sum is σ = 2417075811. Its totient is φ = 541793664.

The previous prime is 1148938811. The next prime is 1148938841. The reversal of 1148938816 is 6188398411.

The square root of 1148938816 is 33896.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×11489388162 = 2640120805822963712, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1148938816.

It is not an unprimeable number, because it can be changed into a prime (1148938811) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5152081 + ... + 5152303.

Almost surely, 21148938816 is an apocalyptic number.

1148938816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1148938816 is the 33896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148938816

1148938816 is an abundant number, since it is smaller than the sum of its proper divisors (1268136995).

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

1148938816 is an frugal number, since it uses more digits than its factorization.

1148938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 244 counting only the distinct ones).

The product of its digits is 331776, while the sum is 49.

The cubic root of 1148938816 is about 1047.3671956233.

Multiplying 1148938816 by its sum of digits (49), we get a square (56298001984 = 2372722).

Multiplying 1148938816 by its product of digits (331776), we get a square (381190324617216 = 195240962).

It can be divided in two parts, 11489 and 38816, that added together give a palindrome (50305).

The spelling of 1148938816 in words is "one billion, one hundred forty-eight million, nine hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 223 304 361 446 608 722 892 1216 1444 1784 2888 3568 4237 5776 7136 8474 11552 14272 16948 23104 33896 49729 67792 80503 99458 135584 161006 198916 271168 322012 397832 644024 795664 944851 1288048 1591328 1889702 2576096 3182656 3779404 5152192 7558808 15117616 17952169 30235232 35904338 60470464 71808676 143617352 287234704 574469408 1148938816