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64423128 = 23371171491
BaseRepresentation
bin1111010111000…
…0010011011000
311111020000220210
43311300103120
5112443020003
610220451120
71411405350
oct365602330
9144200823
1064423128
1133402060
12196a9aa0
13104682c3
1487adb60
1559c8503
hex3d704d8

64423128 has 128 divisors (see below), whose sum is σ = 204042240. Its totient is φ = 16464000.

The previous prime is 64423127. The next prime is 64423169. The reversal of 64423128 is 82132446.

64423128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64423095 and 64423104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64423127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130963 + ... + 131453.

It is an arithmetic number, because the mean of its divisors is an integer number (1594080).

Almost surely, 264423128 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 64423128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102021120).

64423128 is an abundant number, since it is smaller than the sum of its proper divisors (139619112).

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

64423128 is a wasteful number, since it uses less digits than its factorization.

64423128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 64423128 is about 8026.4019336188. The cubic root of 64423128 is about 400.8795810917.

The spelling of 64423128 in words is "sixty-four million, four hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 71 77 84 88 132 142 154 168 213 231 264 284 308 426 462 491 497 568 616 781 852 924 982 994 1473 1491 1562 1704 1848 1964 1988 2343 2946 2982 3124 3437 3928 3976 4686 5401 5467 5892 5964 6248 6874 9372 10311 10802 10934 11784 11928 13748 16203 16401 18744 20622 21604 21868 27496 32406 32802 34861 37807 41244 43208 43736 64812 65604 69722 75614 82488 104583 113421 129624 131208 139444 151228 209166 226842 244027 278888 302456 383471 418332 453684 488054 732081 766942 836664 907368 976108 1150413 1464162 1533884 1952216 2300826 2684297 2928324 3067768 4601652 5368594 5856648 8052891 9203304 10737188 16105782 21474376 32211564 64423128