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1045481472 = 2113373773
BaseRepresentation
bin111110010100001…
…100100000000000
32200212020221222000
4332110030200000
54120120401342
6251424144000
734623305640
oct7624144000
92625227860
101045481472
11497168782
12252168000
131387a29b9
149cbca520
1561bb744c
hex3e50c800

1045481472 has 384 divisors, whose sum is σ = 3684844800. Its totient is φ = 286654464.

The previous prime is 1045481471. The next prime is 1045481473. The reversal of 1045481472 is 2741845401.

It is a happy number.

1045481472 is a `hidden beast` number, since 104 + 5 + 4 + 81 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (1045481471) and next prime (1045481473).

It is a tau number, because it is divible by the number of its divisors (384).

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 (1045481471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14321628 + ... + 14321700.

It is an arithmetic number, because the mean of its divisors is an integer number (9595950).

Almost surely, 21045481472 is an apocalyptic number.

1045481472 is a gapful number since it is divisible by the number (12) 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 1045481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842422400).

1045481472 is an abundant number, since it is smaller than the sum of its proper divisors (2639363328).

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

1045481472 is an equidigital number, since it uses as much as digits as its factorization.

1045481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1045481472 is about 32333.9059193287. The cubic root of 1045481472 is about 1014.9362872640.

The spelling of 1045481472 in words is "one billion, forty-five million, four hundred eighty-one thousand, four hundred seventy-two".