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4058709264 = 243253092
BaseRepresentation
bin1111000111101010…
…1111110100010000
3101110212011210102100
43301322233310100
531303012144024
61510424120400
7202402313421
oct36172576420
911425153370
104058709264
1117a3043385
12953306100
134c8b3901c
142a7077648
1518b4c07c9
hexf1eafd10

4058709264 has 45 divisors (see below), whose sum is σ = 11360888773. Its totient is φ = 1352648256.

The previous prime is 4058709257. The next prime is 4058709271. The reversal of 4058709264 is 4629078504.

It is a happy number.

The square root of 4058709264 is 63708.

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

4058709264 is a `hidden beast` number, since 4 + 0 + 587 + 0 + 9 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4058709257) and next prime (4058709271).

It can be written as a sum of positive squares in only one way, i.e., 13749264 + 4044960000 = 3708^2 + 63600^2 .

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, 761842 + ... + 767150.

Almost surely, 24058709264 is an apocalyptic number.

4058709264 is the 63708-th square number.

It is an amenable number.

4058709264 is an abundant number, since it is smaller than the sum of its proper divisors (7302179509).

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

4058709264 is an frugal number, since it uses more digits than its factorization.

4058709264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 4058709264 is about 1595.1296251147.

The spelling of 4058709264 in words is "four billion, fifty-eight million, seven hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5309 10618 15927 21236 31854 42472 47781 63708 84944 95562 127416 191124 254832 382248 764496 28185481 56370962 84556443 112741924 169112886 225483848 253669329 338225772 450967696 507338658 676451544 1014677316 1352903088 2029354632 4058709264