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64364544 = 2133497
BaseRepresentation
bin1111010110001…
…0000000000000
311111010001120000
43311202000000
5112434131134
610215320000
71411042506
oct365420000
9144101500
1064364544
1133372042
1219680000
131044773a
148796676
1559b5e99
hex3d62000

64364544 has 140 divisors (see below), whose sum is σ = 194269614. Its totient is φ = 21233664.

The previous prime is 64364527. The next prime is 64364549. The reversal of 64364544 is 44546346.

64364544 is a `hidden beast` number, since 6 + 4 + 3 + 645 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 8294400 = 7488^2 + 2880^2 .

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

Its product of digits (138240) is a multiple of the sum of its prime factors (135).

It is a junction number, because it is equal to n+sod(n) for n = 64364499 and 64364508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64364549) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663504 + ... + 663600.

Almost surely, 264364544 is an apocalyptic number.

64364544 is a gapful number since it is divisible by the number (64) 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 64364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97134807).

64364544 is an abundant number, since it is smaller than the sum of its proper divisors (129905070).

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

64364544 is an frugal number, since it uses more digits than its factorization.

64364544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 64364544 is about 8022.7516476581. The cubic root of 64364544 is about 400.7580292384.

The spelling of 64364544 in words is "sixty-four million, three hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 128 144 162 192 194 216 256 288 291 324 384 388 432 512 576 582 648 768 776 864 873 1024 1152 1164 1296 1536 1552 1728 1746 2048 2304 2328 2592 2619 3072 3104 3456 3492 4096 4608 4656 5184 5238 6144 6208 6912 6984 7857 8192 9216 9312 10368 10476 12288 12416 13824 13968 15714 18432 18624 20736 20952 24576 24832 27648 27936 31428 36864 37248 41472 41904 49664 55296 55872 62856 73728 74496 82944 83808 99328 110592 111744 125712 148992 165888 167616 198656 221184 223488 251424 297984 331776 335232 397312 446976 502848 595968 663552 670464 794624 893952 1005696 1191936 1340928 1787904 2011392 2383872 2681856 3575808 4022784 5363712 7151616 8045568 10727424 16091136 21454848 32182272 64364544