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1054690576 = 242323532
BaseRepresentation
bin111110110111010…
…100110100010000
32201111120211110221
4332313110310100
54130000044301
6252353402424
735064502432
oct7667246420
92644524427
101054690576
114a1388705
12255269414
1313a678584
14a0106652
15628d5da1
hex3edd4d10

1054690576 has 45 divisors (see below), whose sum is σ = 2142240709. Its totient is φ = 502988288.

The previous prime is 1054690561. The next prime is 1054690583. The reversal of 1054690576 is 6750964501.

The square root of 1054690576 is 32476.

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

It can be written as a sum of positive squares in only one way, i.e., 428490000 + 626200576 = 20700^2 + 25024^2 .

It is a super-2 number, since 2×10546905762 = 2224744422206423552, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2987616 + ... + 2987968.

Almost surely, 21054690576 is an apocalyptic number.

1054690576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1054690576 is the 32476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054690576

1054690576 is an abundant number, since it is smaller than the sum of its proper divisors (1087550133).

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

1054690576 is an frugal number, since it uses more digits than its factorization.

1054690576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The cubic root of 1054690576 is about 1017.9075957983.

The spelling of 1054690576 in words is "one billion, fifty-four million, six hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 353 368 529 706 1058 1412 2116 2824 4232 5648 8119 8464 16238 32476 64952 124609 129904 186737 249218 373474 498436 746948 996872 1493896 1993744 2866007 2987792 5732014 11464028 22928056 45856112 65918161 131836322 263672644 527345288 1054690576