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428212692 = 223237417841
BaseRepresentation
bin11001100001100…
…000000111010100
31002211202110101100
4121201200013110
51334110301232
6110254030100
713416514335
oct3141400724
91084673340
10428212692
111aa795596
12bb4a8330
136a93bbbb
1440c2a28c
15278d7c7c
hex198601d4

428212692 has 72 divisors (see below), whose sum is σ = 1138940712. Its totient is φ = 135475200.

The previous prime is 428212679. The next prime is 428212699. The reversal of 428212692 is 296212824.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 399440196 = 5364^2 + 19986^2 .

It is a super-2 number, since 2×4282126922 = 366732219179773728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428212699) 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 23 ways as a sum of consecutive naturals, for example, 50692 + ... + 58532.

It is an arithmetic number, because the mean of its divisors is an integer number (15818621).

Almost surely, 2428212692 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 428212692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569470356).

428212692 is an abundant number, since it is smaller than the sum of its proper divisors (710728020).

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

428212692 is a wasteful number, since it uses less digits than its factorization.

428212692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929 (or 7924 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 428212692 is about 20693.3006550429. The cubic root of 428212692 is about 753.7370180020.

The spelling of 428212692 in words is "four hundred twenty-eight million, two hundred twelve thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 7841 9102 13653 15682 18204 23523 27306 31364 47046 54612 70569 94092 141138 282276 290117 321481 580234 642962 870351 964443 1160468 1285924 1740702 1928886 2611053 2893329 3481404 3857772 5222106 5786658 10444212 11573316 11894797 23789594 35684391 47579188 71368782 107053173 142737564 214106346 428212692