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64540432 = 24112173753
BaseRepresentation
bin1111011000110…
…0111100010000
311111102222211101
43312030330100
5113010243212
610223154144
71412404345
oct366147420
9144388741
1064540432
1133482200
1219745954
13104a9808
1488007cc
1559ed157
hex3d8cf10

64540432 has 120 divisors (see below), whose sum is σ = 152287128. Its totient is φ = 26357760.

The previous prime is 64540429. The next prime is 64540439. The reversal of 64540432 is 23404546.

64540432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 26050816 = 6204^2 + 5104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64540432.

It is not an unprimeable number, because it can be changed into a prime (64540439) 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 23 ways as a sum of consecutive naturals, for example, 1217718 + ... + 1217770.

Almost surely, 264540432 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 64540432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76143564).

64540432 is an abundant number, since it is smaller than the sum of its proper divisors (87746696).

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

64540432 is a wasteful number, since it uses less digits than its factorization.

64540432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 64540432 is about 8033.7059941225. The cubic root of 64540432 is about 401.1227456570.

Adding to 64540432 its reverse (23404546), we get a palindrome (87944978).

The spelling of 64540432 in words is "sixty-four million, five hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 53 68 74 88 106 121 136 148 176 187 212 242 272 296 374 407 424 484 583 592 629 748 814 848 901 968 1166 1258 1496 1628 1802 1936 1961 2057 2332 2516 2992 3256 3604 3922 4114 4477 4664 5032 6413 6512 6919 7208 7844 8228 8954 9328 9911 10064 12826 13838 14416 15688 16456 17908 19822 21571 25652 27676 31376 32912 33337 35816 39644 43142 51304 55352 66674 71632 76109 79288 86284 102608 109021 110704 133348 152218 158576 172568 218042 237281 266696 304436 345136 366707 436084 474562 533392 608872 733414 872168 949124 1217744 1466828 1744336 1898248 2933656 3796496 4033777 5867312 8067554 16135108 32270216 64540432