Search a number
-
+
2156464384 = 2873257449
BaseRepresentation
bin1000000010001001…
…0000100100000000
312120021202202000021
42000202100210000
513404023330014
6553552303224
7104303434114
oct20042204400
95507682007
102156464384
11a072a4678
12502241b14
132849ca739
14166587744
15c94bc624
hex80890900

2156464384 has 72 divisors (see below), whose sum is σ = 4390205400. Its totient is φ = 1056964608.

The previous prime is 2156464381. The next prime is 2156464391. The reversal of 2156464384 is 4834646512.

It can be written as a sum of positive squares in 4 ways, for example, as 1137577984 + 1018886400 = 33728^2 + 31920^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2156464384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156464381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4802592 + ... + 4803040.

It is an arithmetic number, because the mean of its divisors is an integer number (60975075).

Almost surely, 22156464384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195102700).

2156464384 is an abundant number, since it is smaller than the sum of its proper divisors (2233741016).

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

2156464384 is an equidigital number, since it uses as much as digits as its factorization.

2156464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The square root of 2156464384 is about 46437.7474044554. The cubic root of 2156464384 is about 1291.9551275683.

The spelling of 2156464384 in words is "two billion, one hundred fifty-six million, four hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 257 292 449 514 584 898 1028 1168 1796 2056 2336 3592 4112 4672 7184 8224 9344 14368 16448 18688 18761 28736 32777 32896 37522 57472 65554 65792 75044 114944 115393 131108 150088 230786 262216 300176 461572 524432 600352 923144 1048864 1200704 1846288 2097728 2401408 3692576 4195456 4802816 7385152 8390912 8423689 14770304 16847378 29540608 33694756 67389512 134779024 269558048 539116096 1078232192 2156464384