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4635225324 = 223429217011
BaseRepresentation
bin1000101000100011…
…11110110011101100
3102222000222211210000
410110101332303230
533443104202244
62043540544300
7222602523312
oct42421766354
912860884700
104635225324
111a69511434
12a943b2090
1358b4017a2
1431d86a0b2
151c1e00169
hex11447ecec

4635225324 has 90 divisors (see below), whose sum is σ = 12550381844. Its totient is φ = 1491708960.

The previous prime is 4635225323. The next prime is 4635225337. The reversal of 4635225324 is 4235225364.

4635225324 is a `hidden beast` number, since 4 + 63 + 522 + 53 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4635225323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 263979 + ... + 280989.

Almost surely, 24635225324 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 4635225324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275190922).

4635225324 is an abundant number, since it is smaller than the sum of its proper divisors (7915156520).

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

4635225324 is a wasteful number, since it uses less digits than its factorization.

4635225324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17085 (or 17045 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 4635225324 is about 68082.4891143090. The cubic root of 4635225324 is about 1667.3378796387.

The spelling of 4635225324 in words is "four billion, six hundred thirty-five million, two hundred twenty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1566 1682 2349 2523 3132 3364 4698 5046 7569 9396 10092 15138 17011 22707 30276 34022 45414 51033 68044 68121 90828 102066 136242 153099 204132 272484 306198 459297 493319 612396 918594 986638 1377891 1479957 1837188 1973276 2755782 2959914 4439871 5511564 5919828 8879742 13319613 14306251 17759484 26639226 28612502 39958839 42918753 53278452 57225004 79917678 85837506 128756259 159835356 171675012 257512518 386268777 515025036 772537554 1158806331 1545075108 2317612662 4635225324