Search a number
-
+
64899072 = 211327503
BaseRepresentation
bin1111011110010…
…0100000000000
311112010012210100
43313210200000
5113103232242
610235002400
71415430060
oct367444000
9145105710
1064899072
11336a76a7
1219899400
13105a3b24
1488953a0
155a6e54c
hex3de4800

64899072 has 144 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 18505728.

The previous prime is 64899017. The next prime is 64899101. The reversal of 64899072 is 27099846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×648990722 = 8423779092922368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128773 + ... + 129275.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 264899072 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 64899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

64899072 is an abundant number, since it is smaller than the sum of its proper divisors (149744448).

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

64899072 is a wasteful number, since it uses less digits than its factorization.

64899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 64899072 is about 8055.9960278044. The cubic root of 64899072 is about 401.8643635376.

The spelling of 64899072 in words is "sixty-four million, eight hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 503 504 512 576 672 768 896 1006 1008 1024 1152 1344 1509 1536 1792 2012 2016 2048 2304 2688 3018 3072 3521 3584 4024 4032 4527 4608 5376 6036 6144 7042 7168 8048 8064 9054 9216 10563 10752 12072 14084 14336 16096 16128 18108 18432 21126 21504 24144 28168 31689 32192 32256 36216 42252 43008 48288 56336 63378 64384 64512 72432 84504 96576 112672 126756 128768 129024 144864 169008 193152 225344 253512 257536 289728 338016 386304 450688 507024 515072 579456 676032 772608 901376 1014048 1030144 1158912 1352064 1545216 1802752 2028096 2317824 2704128 3090432 3605504 4056192 4635648 5408256 7211008 8112384 9271296 10816512 16224768 21633024 32449536 64899072