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1012808448 = 2831067
BaseRepresentation
bin111100010111100…
…011101100000000
32121120210000000000
4330113203230000
54033234332243
6244300000000
734045505211
oct7427435400
92546700000
101012808448
1147a781a83
12243230000
13131aa3152
1498723408
155ddb15d3
hex3c5e3b00

1012808448 has 198 divisors, whose sum is σ = 3077734604. Its totient is φ = 332563968.

The previous prime is 1012808443. The next prime is 1012808453. The reversal of 1012808448 is 8448082101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012808443) and next prime (1012808453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1012808443) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 15116511 + ... + 15116577.

Almost surely, 21012808448 is an apocalyptic number.

1012808448 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 1012808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538867302).

1012808448 is an abundant number, since it is smaller than the sum of its proper divisors (2064926156).

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

1012808448 is an frugal number, since it uses more digits than its factorization.

1012808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1012808448 is about 31824.6515770401. The cubic root of 1012808448 is about 1004.2513827974.

The spelling of 1012808448 in words is "one billion, twelve million, eight hundred eight thousand, four hundred forty-eight".