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1630867456 = 2126312
BaseRepresentation
bin110000100110101…
…0001000000000000
311012122202122120101
41201031101000000
511320000224311
6425455052144
755262100421
oct14115210000
94178678511
101630867456
11767644949
12396211054
131ccb5283a
1411684b648
1598299ec1
hex61351000

1630867456 has 39 divisors (see below), whose sum is σ = 3266513463. Its totient is φ = 814141440.

The previous prime is 1630867421. The next prime is 1630867501. The reversal of 1630867456 is 6547680361.

The square root of 1630867456 is 40384.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2584261 + ... + 2584891.

Almost surely, 21630867456 is an apocalyptic number.

1630867456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1630867456 is the 40384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630867456

1630867456 is an abundant number, since it is smaller than the sum of its proper divisors (1635646007).

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

1630867456 is an frugal number, since it uses more digits than its factorization.

1630867456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The cubic root of 1630867456 is about 1177.0806547349.

The spelling of 1630867456 in words is "one billion, six hundred thirty million, eight hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 631 1024 1262 2048 2524 4096 5048 10096 20192 40384 80768 161536 323072 398161 646144 796322 1292288 1592644 2584576 3185288 6370576 12741152 25482304 50964608 101929216 203858432 407716864 815433728 1630867456