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2047924516 = 22116172
BaseRepresentation
bin111101000010000…
…1101100100100100
312021201112100022011
41322010031210210
513143232041031
6535114044004
7101515033261
oct17204154444
95251470264
102047924516
11961000000
12491a19604
13268386b71
14155db2268
15bebcc6b1
hex7a10d924

2047924516 has 63 divisors (see below), whose sum is σ = 4187792833. Its totient is φ = 876117440.

The previous prime is 2047924453. The next prime is 2047924517. The reversal of 2047924516 is 6154297402.

The square root of 2047924516 is 45254.

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., 1594404900 + 453519616 = 39930^2 + 21296^2 .

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2047924517) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 120466140 + ... + 120466156.

Almost surely, 22047924516 is an apocalyptic number.

2047924516 is the 45254-th square number.

It is an amenable number.

2047924516 is an abundant number, since it is smaller than the sum of its proper divisors (2139868317).

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

2047924516 is an frugal number, since it uses more digits than its factorization.

2047924516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The cubic root of 2047924516 is about 1269.9052393801.

The spelling of 2047924516 in words is "two billion, forty-seven million, nine hundred twenty-four thousand, five hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 1156 1331 2057 2662 3179 4114 5324 6358 8228 12716 14641 22627 29282 34969 45254 58564 69938 90508 139876 161051 248897 322102 384659 497794 644204 769318 995588 1538636 1771561 2737867 3543122 4231249 5475734 7086244 8462498 10951468 16924996 30116537 46543739 60233074 93087478 120466148 186174956 511981129 1023962258 2047924516