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1045484046 = 232297732591
BaseRepresentation
bin111110010100001…
…101001000001110
32200212021002111100
4332110031020032
54120120442141
6251424203530
734623316305
oct7624151016
92625232440
101045484046
1149716a702
122521695a6
131387a3c19
149cbcb43c
1561bb80b6
hex3e50d20e

1045484046 has 48 divisors (see below), whose sum is σ = 2347263360. Its totient is φ = 335912640.

The previous prime is 1045484039. The next prime is 1045484057. The reversal of 1045484046 is 6404845401.

It is a happy number.

1045484046 is a `hidden beast` number, since 104 + 548 + 4 + 0 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1045484046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402211 + ... + 404801.

It is an arithmetic number, because the mean of its divisors is an integer number (48901320).

Almost surely, 21045484046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045484046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173631680).

1045484046 is an abundant number, since it is smaller than the sum of its proper divisors (1301779314).

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

1045484046 is a wasteful number, since it uses less digits than its factorization.

1045484046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1045484046 is about 32333.9457227230. The cubic root of 1045484046 is about 1014.9371201957.

The spelling of 1045484046 in words is "one billion, forty-five million, four hundred eighty-four thousand, forty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 773 1546 2319 2591 4638 5182 6957 7773 13914 15546 22417 23319 44834 46638 67251 75139 134502 150278 201753 225417 403506 450834 676251 1352502 2002843 4005686 6008529 12017058 18025587 36051174 58082447 116164894 174247341 348494682 522742023 1045484046