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64681472 = 291961109
BaseRepresentation
bin1111011010111…
…1011000000000
311111201011022002
43312233120000
5113024301342
610230203132
71413532502
oct366573000
9144634262
1064681472
1133569169
12197b34a8
1310528a7b
148839d72
155a29d32
hex3daf600

64681472 has 80 divisors (see below), whose sum is σ = 139537200. Its totient is φ = 29859840.

The previous prime is 64681459. The next prime is 64681483. The reversal of 64681472 is 27418646.

64681472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 593354 + ... + 593462.

It is an arithmetic number, because the mean of its divisors is an integer number (1744215).

Almost surely, 264681472 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 64681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768600).

64681472 is an abundant number, since it is smaller than the sum of its proper divisors (74855728).

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

64681472 is a wasteful number, since it uses less digits than its factorization.

64681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 64681472 is about 8042.4792197431. The cubic root of 64681472 is about 401.4147238256.

It can be divided in two parts, 64 and 681472, that multiplied together give a cube (43614208 = 3523).

The spelling of 64681472 in words is "sixty-four million, six hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 109 122 128 152 218 244 256 304 436 488 512 608 872 976 1159 1216 1744 1952 2071 2318 2432 3488 3904 4142 4636 4864 6649 6976 7808 8284 9272 9728 13298 13952 15616 16568 18544 26596 27904 31232 33136 37088 53192 55808 66272 74176 106384 126331 132544 148352 212768 252662 265088 296704 425536 505324 530176 593408 851072 1010648 1060352 1702144 2021296 3404288 4042592 8085184 16170368 32340736 64681472