Search a number
-
+
648134816 = 25719115149
BaseRepresentation
bin100110101000011…
…100000010100000
31200011120122211012
4212220130002200
52311410303231
6144151440052
722030024610
oct4650340240
91604518735
10648134816
1130294530a
12161086028
13a4380034
1462116a40
153bd79e2b
hex26a1c0a0

648134816 has 48 divisors (see below), whose sum is σ = 1466035200. Its totient is φ = 276299520.

The previous prime is 648134801. The next prime is 648134863. The reversal of 648134816 is 618431846.

It is a super-2 number, since 2×6481348162 = 840157479422707712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35210 + ... + 50358.

It is an arithmetic number, because the mean of its divisors is an integer number (30542400).

Almost surely, 2648134816 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 648134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733017600).

648134816 is an abundant number, since it is smaller than the sum of its proper divisors (817900384).

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

648134816 is a wasteful number, since it uses less digits than its factorization.

648134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15357 (or 15349 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 648134816 is about 25458.4920213276. The cubic root of 648134816 is about 865.4097498497.

The spelling of 648134816 in words is "six hundred forty-eight million, one hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 764 1337 1528 2674 3056 5348 6112 10696 15149 21392 30298 42784 60596 106043 121192 212086 242384 424172 484768 848344 1696688 2893459 3393376 5786918 11573836 20254213 23147672 40508426 46295344 81016852 92590688 162033704 324067408 648134816