Search a number
-
+
46896640 = 29572617
BaseRepresentation
bin1011001011100…
…1011000000000
310021020121002121
42302321120000
544001143030
64353054024
71106420620
oct262713000
9107217077
1046896640
112452115a
1213857314
13993c9bb
14632a880
1541b547a
hex2cb9600

46896640 has 80 divisors (see below), whose sum is σ = 128554272. Its totient is φ = 16072704.

The previous prime is 46896613. The next prime is 46896643. The reversal of 46896640 is 4669864.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46896643) 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, 16612 + ... + 19228.

Almost surely, 246896640 is an apocalyptic number.

46896640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64277136).

46896640 is an abundant number, since it is smaller than the sum of its proper divisors (81657632).

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

46896640 is an equidigital number, since it uses as much as digits as its factorization.

46896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 46896640 is about 6848.1121486144. The cubic root of 46896640 is about 360.6178689842.

The spelling of 46896640 in words is "forty-six million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 2617 3584 4480 5234 8960 10468 13085 17920 18319 20936 26170 36638 41872 52340 73276 83744 91595 104680 146552 167488 183190 209360 293104 334976 366380 418720 586208 669952 732760 837440 1172416 1339904 1465520 1674880 2344832 2931040 3349760 4689664 5862080 6699520 9379328 11724160 23448320 46896640