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2930706496 = 266721012
BaseRepresentation
bin1010111010101111…
…0000100001000000
321120020122022112001
42232223300201000
522000230101441
61202451113344
7132424410544
oct25653604100
97506568461
102930706496
111274342193
126995a2854
13379232473
141db329a24
15122457731
hexaeaf0840

2930706496 has 63 divisors (see below), whose sum is σ = 5962747917. Its totient is φ = 1429190400.

The previous prime is 2930706481. The next prime is 2930706503. The reversal of 2930706496 is 6946070392.

The square root of 2930706496 is 54136.

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., 2815788096 + 114918400 = 53064^2 + 10720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29016846 + ... + 29016946.

Almost surely, 22930706496 is an apocalyptic number.

2930706496 is the 54136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930706496

2930706496 is an abundant number, since it is smaller than the sum of its proper divisors (3032041421).

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

2930706496 is an frugal number, since it uses more digits than its factorization.

2930706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The cubic root of 2930706496 is about 1431.0586803859.

The spelling of 2930706496 in words is "two billion, nine hundred thirty million, seven hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 67 101 134 202 268 404 536 808 1072 1616 2144 3232 4288 4489 6464 6767 8978 10201 13534 17956 20402 27068 35912 40804 54136 71824 81608 108272 143648 163216 216544 287296 326432 433088 453389 652864 683467 906778 1366934 1813556 2733868 3627112 5467736 7254224 10935472 14508448 21870944 29016896 43741888 45792289 91584578 183169156 366338312 732676624 1465353248 2930706496