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64561152 = 21333771
BaseRepresentation
bin1111011001001…
…0000000000000
311111111001020210
43312102000000
5113011424102
610223434120
71412521635
oct366220000
9144431223
1064561152
1133496827
1219755940
13104b6086
14880818c
155a0436c
hex3d92000

64561152 has 112 divisors (see below), whose sum is σ = 179295552. Its totient is φ = 20643840.

The previous prime is 64561141. The next prime is 64561153. The reversal of 64561152 is 25116546.

It is not an unprimeable number, because it can be changed into a prime (64561153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909277 + ... + 909347.

Almost surely, 264561152 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 64561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89647776).

64561152 is an abundant number, since it is smaller than the sum of its proper divisors (114734400).

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

64561152 is an equidigital number, since it uses as much as digits as its factorization.

64561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 64561152 is about 8034.9954573727. The cubic root of 64561152 is about 401.1656664214.

Adding to 64561152 its reverse (25116546), we get a palindrome (89677698).

The spelling of 64561152 in words is "sixty-four million, five hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 71 74 96 111 128 142 148 192 213 222 256 284 296 384 426 444 512 568 592 768 852 888 1024 1136 1184 1536 1704 1776 2048 2272 2368 2627 3072 3408 3552 4096 4544 4736 5254 6144 6816 7104 7881 8192 9088 9472 10508 12288 13632 14208 15762 18176 18944 21016 24576 27264 28416 31524 36352 37888 42032 54528 56832 63048 72704 75776 84064 109056 113664 126096 145408 151552 168128 218112 227328 252192 290816 303104 336256 436224 454656 504384 581632 672512 872448 909312 1008768 1345024 1744896 2017536 2690048 4035072 5380096 8070144 10760192 16140288 21520384 32280576 64561152