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1382054976 = 263215492
BaseRepresentation
bin101001001100000…
…0111110001000000
310120022120200000100
41102120013301000
510312301224401
6345050122400
746151162541
oct12230076100
93508520010
101382054976
1164a1523a5
12326a20400
13190437813
14d17a04c8
15814ecb86
hex52607c40

1382054976 has 63 divisors (see below), whose sum is σ = 3963970101. Its totient is φ = 460387584.

The previous prime is 1382054963. The next prime is 1382054983. The reversal of 1382054976 is 6794502831.

The square root of 1382054976 is 37176.

It is a perfect power (a square), and thus also a powerful number.

1382054976 is a `hidden beast` number, since 1 + 38 + 2 + 0 + 549 + 76 = 666.

1382054976 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 467597376 + 914457600 = 21624^2 + 30240^2 .

1382054976 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 891450 + ... + 892998.

It is a 1-persistent number, because it is pandigital, but 2⋅1382054976 = 2764109952 is not.

Almost surely, 21382054976 is an apocalyptic number.

1382054976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1382054976 is the 37176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382054976

1382054976 is an abundant number, since it is smaller than the sum of its proper divisors (2581915125).

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

1382054976 is an frugal number, since it uses more digits than its factorization.

1382054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 1382054976 is about 1113.8886352987. Note that the first 3 decimals are identical.

The spelling of 1382054976 in words is "one billion, three hundred eighty-two million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 49568 55764 74352 99136 111528 148704 223056 297408 446112 892224 2399401 4798802 7198203 9597604 14396406 19195208 21594609 28792812 38390416 43189218 57585624 76780832 86378436 115171248 153561664 172756872 230342496 345513744 460684992 691027488 1382054976