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1045429056 = 263272511033
BaseRepresentation
bin111110010011111…
…111101101000000
32200212011022001200
4332103333231000
54120112212211
6251423101200
734623000060
oct7623775500
92625138050
101045429056
11497132361
12252141800
13138784b99
149cbb53a0
1561ba6b56
hex3e4ffb40

1045429056 has 168 divisors, whose sum is σ = 3441582144. Its totient is φ = 297216000.

The previous prime is 1045429019. The next prime is 1045429067. The reversal of 1045429056 is 6509245401.

1045429056 is a `hidden beast` number, since 104 + 542 + 9 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10454290562 = 2185843822258102272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1045429056.

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, 1011516 + ... + 1012548.

It is an arithmetic number, because the mean of its divisors is an integer number (20485608).

Almost surely, 21045429056 is an apocalyptic number.

1045429056 is a gapful number since it is divisible by the number (16) 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 1045429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720791072).

1045429056 is an abundant number, since it is smaller than the sum of its proper divisors (2396153088).

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

1045429056 is a wasteful number, since it uses less digits than its factorization.

1045429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1045429056 is about 32333.0953668219. The cubic root of 1045429056 is about 1014.9193254491.

The spelling of 1045429056 in words is "one billion, forty-five million, four hundred twenty-nine thousand, fifty-six".