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64136448 = 28351031
BaseRepresentation
bin1111010010101…
…0010100000000
311110200110200000
43310222110000
5112404331243
610210400000
71406102505
oct364522400
9143613600
1064136448
1133226732
1219590000
131039797c
1487374ac
15596d5d3
hex3d2a500

64136448 has 108 divisors (see below), whose sum is σ = 191956128. Its totient is φ = 21358080.

The previous prime is 64136441. The next prime is 64136453. The reversal of 64136448 is 84463146.

64136448 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×641364482 = 8226967924113408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64136441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61693 + ... + 62723.

Almost surely, 264136448 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 64136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95978064).

64136448 is an abundant number, since it is smaller than the sum of its proper divisors (127819680).

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

64136448 is an equidigital number, since it uses as much as digits as its factorization.

64136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1036 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 64136448 is about 8008.5234594150. The cubic root of 64136448 is about 400.2840648868.

The spelling of 64136448 in words is "sixty-four million, one hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1031 1152 1296 1728 1944 2062 2304 2592 3093 3456 3888 4124 5184 6186 6912 7776 8248 9279 10368 12372 15552 16496 18558 20736 24744 27837 31104 32992 37116 49488 55674 62208 65984 74232 83511 98976 111348 131968 148464 167022 197952 222696 250533 263936 296928 334044 395904 445392 501066 593856 668088 791808 890784 1002132 1187712 1336176 1781568 2004264 2375424 2672352 3563136 4008528 5344704 7126272 8017056 10689408 16034112 21378816 32068224 64136448