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1050382464 = 27310326557
BaseRepresentation
bin111110100110111…
…001000010000000
32201012110221212020
4332212321002000
54122344214324
6252121201440
735013050355
oct7646710200
92635427766
101050382464
11499a0598a
12253930280
131397ca6b1
149d70462c
1562334679
hex3e9b9080

1050382464 has 64 divisors (see below), whose sum is σ = 2817272640. Its totient is φ = 346715136.

The previous prime is 1050382433. The next prime is 1050382477. The reversal of 1050382464 is 4642830501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10503824642 = 2206606641357422592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26274 + ... + 52830.

It is an arithmetic number, because the mean of its divisors is an integer number (44019885).

Almost surely, 21050382464 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 1050382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408636320).

1050382464 is an abundant number, since it is smaller than the sum of its proper divisors (1766890176).

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

1050382464 is a wasteful number, since it uses less digits than its factorization.

1050382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26677 (or 26665 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1050382464 is about 32409.6045023694. The cubic root of 1050382464 is about 1016.5197497757.

The spelling of 1050382464 in words is "one billion, fifty million, three hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 26557 39552 53114 79671 106228 159342 212456 318684 424912 637368 849824 1274736 1699648 2549472 2735371 3399296 5098944 5470742 8206113 10197888 10941484 16412226 21882968 32824452 43765936 65648904 87531872 131297808 175063744 262595616 350127488 525191232 1050382464