Search a number
-
+
712402272 = 253217227641
BaseRepresentation
bin101010011101100…
…110010101100000
31211122111210012100
4222131212111200
52424333333042
6154405130400
723440214361
oct5235462540
91748453170
10712402272
1133615040a
1217a6b9a00
13b479250a
146a885b68
154282224c
hex2a766560

712402272 has 144 divisors (see below), whose sum is σ = 2157874992. Its totient is φ = 222167040.

The previous prime is 712402259. The next prime is 712402277. The reversal of 712402272 is 272204217.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712402277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111072 + ... + 1111712.

It is an arithmetic number, because the mean of its divisors is an integer number (14985243).

Almost surely, 2712402272 is an apocalyptic number.

712402272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078937496).

712402272 is an abundant number, since it is smaller than the sum of its proper divisors (1445472720).

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

712402272 is a wasteful number, since it uses less digits than its factorization.

712402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 712402272 is about 26690.8649541374. The cubic root of 712402272 is about 893.1171561766.

Adding to 712402272 its reverse (272204217), we get a palindrome (984606489).

The spelling of 712402272 in words is "seven hundred twelve million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 227 272 288 306 408 454 544 612 641 681 816 908 1224 1282 1362 1632 1816 1923 2043 2448 2564 2724 3632 3846 3859 4086 4896 5128 5448 5769 7264 7692 7718 8172 10256 10896 10897 11538 11577 15384 15436 16344 20512 21792 21794 23076 23154 30768 30872 32688 32691 34731 43588 46152 46308 61536 61744 65376 65382 69462 87176 92304 92616 98073 123488 130764 138924 145507 174352 184608 185232 196146 261528 277848 291014 348704 370464 392292 436521 523056 555696 582028 784584 873042 1046112 1111392 1164056 1309563 1569168 1746084 2328112 2473619 2619126 3138336 3492168 4656224 4947238 5238252 6984336 7420857 9894476 10476504 13968672 14841714 19788952 20953008 22262571 29683428 39577904 41906016 44525142 59366856 79155808 89050284 118733712 178100568 237467424 356201136 712402272