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1082076576 = 253731127409
BaseRepresentation
bin100000001111111…
…0010110110100000
32210102010012000020
41000133302312200
54204002422301
6255212353440
735546333130
oct10037626640
92712105006
101082076576
11505893169
12262475880
131432467c9
14a39d4ac0
1564ee5436
hex407f2da0

1082076576 has 192 divisors, whose sum is σ = 3385589760. Its totient is φ = 296110080.

The previous prime is 1082076559. The next prime is 1082076601. The reversal of 1082076576 is 6756702801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645460 + ... + 2645868.

It is an arithmetic number, because the mean of its divisors is an integer number (17633280).

Almost surely, 21082076576 is an apocalyptic number.

1082076576 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 1082076576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692794880).

1082076576 is an abundant number, since it is smaller than the sum of its proper divisors (2303513184).

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

1082076576 is a wasteful number, since it uses less digits than its factorization.

1082076576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 1082076576 is about 32894.9323756715. The cubic root of 1082076576 is about 1026.6427201551.

The spelling of 1082076576 in words is "one billion, eighty-two million, seventy-six thousand, five hundred seventy-six".