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1047428496 = 2434292312
BaseRepresentation
bin111110011011100…
…111110110010000
32200222220212210000
4332123213312100
54121120202441
6251534010000
734645665252
oct7633476620
92628825700
101047428496
11498278594
12252946900
13139004c9a
149d175cd2
1561e4e2b6
hex3e6e7d90

1047428496 has 225 divisors, whose sum is σ = 3244251153. Its totient is φ = 326229120.

The previous prime is 1047428489. The next prime is 1047428507. The reversal of 1047428496 is 6948247401.

The square root of 1047428496 is 32364.

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

1047428496 is a `hidden beast` number, since 10 + 474 + 2 + 84 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 549246096 + 498182400 = 23436^2 + 22320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33788001 + ... + 33788031.

Almost surely, 21047428496 is an apocalyptic number.

1047428496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1047428496 is the 32364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047428496

1047428496 is an abundant number, since it is smaller than the sum of its proper divisors (2196822657).

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

1047428496 is an equidigital number, since it uses as much as digits as its factorization.

1047428496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The cubic root of 1047428496 is about 1015.5659428868.

The spelling of 1047428496 in words is "one billion, forty-seven million, four hundred twenty-eight thousand, four hundred ninety-six".