Search a number
-
+
46665664 = 263143547
BaseRepresentation
bin1011001000000…
…0111111000000
310020210212020221
42302000333000
543421300124
64344112424
71104436333
oct262007700
9106725227
1046665664
1124383671
1213765714
13988b826
1462aa61a
15416bce4
hex2c80fc0

46665664 has 56 divisors (see below), whose sum is σ = 97991168. Its totient is φ = 22014720.

The previous prime is 46665659. The next prime is 46665677. The reversal of 46665664 is 46656664.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 46665664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85039 + ... + 85585.

Almost surely, 246665664 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 46665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48995584).

46665664 is an abundant number, since it is smaller than the sum of its proper divisors (51325504).

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

46665664 is a wasteful number, since it uses less digits than its factorization.

46665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The square root of 46665664 is about 6831.2271225600. The cubic root of 46665664 is about 360.0248542511.

The spelling of 46665664 in words is "forty-six million, six hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 547 688 992 1094 1333 1376 1984 2188 2666 2752 4376 5332 8752 10664 16957 17504 21328 23521 33914 35008 42656 47042 67828 85312 94084 135656 188168 271312 376336 542624 729151 752672 1085248 1458302 1505344 2916604 5833208 11666416 23332832 46665664