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1049039628 = 22372131931233
BaseRepresentation
bin111110100001110…
…001001100001100
32201002221201211120
4332201301030030
54122023232003
6252032320540
734665455400
oct7641611414
92632851746
101049039628
11499178aaa
122533a3150
1313944a410
149d475100
156216b853
hex3e87130c

1049039628 has 288 divisors, whose sum is σ = 3346237440. Its totient is φ = 252564480.

The previous prime is 1049039623. The next prime is 1049039701. The reversal of 1049039628 is 8269309401.

It is a super-2 number, since 2×10490396282 = 2200968282228756768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1049039628.

It is not an unprimeable number, because it can be changed into a prime (1049039623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4502200 + ... + 4502432.

It is an arithmetic number, because the mean of its divisors is an integer number (11618880).

Almost surely, 21049039628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049039628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).

1049039628 is an abundant number, since it is smaller than the sum of its proper divisors (2297197812).

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

1049039628 is a wasteful number, since it uses less digits than its factorization.

1049039628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1049039628 is about 32388.8812403269. The cubic root of 1049039628 is about 1016.0863833697.

The spelling of 1049039628 in words is "one billion, forty-nine million, thirty-nine thousand, six hundred twenty-eight".