Search a number
-
+
661897216 = 21471569
BaseRepresentation
bin100111011100111…
…100000000000000
31201010110212021201
4213130330000000
52323421202331
6145402430544
722255014331
oct4734740000
91633425251
10661897216
1130a6951a2
12165802454
13a718b276
1463c9a288
153d197a61
hex2773c000

661897216 has 60 divisors (see below), whose sum is σ = 1344757680. Its totient is φ = 325713920.

The previous prime is 661897207. The next prime is 661897217. The reversal of 661897216 is 612798166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661897217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1162980 + ... + 1163548.

It is an arithmetic number, because the mean of its divisors is an integer number (22412628).

Almost surely, 2661897216 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 661897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672378840).

661897216 is an abundant number, since it is smaller than the sum of its proper divisors (682860464).

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

661897216 is an frugal number, since it uses more digits than its factorization.

661897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 642 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 661897216 is about 25727.3631761982. The cubic root of 661897216 is about 871.4922274535.

The spelling of 661897216 in words is "six hundred sixty-one million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 569 1024 1136 1138 2048 2272 2276 4096 4544 4552 8192 9088 9104 16384 18176 18208 36352 36416 40399 72704 72832 80798 145408 145664 161596 290816 291328 323192 581632 582656 646384 1163264 1165312 1292768 2330624 2585536 4661248 5171072 9322496 10342144 20684288 41368576 82737152 165474304 330948608 661897216