Search a number
-
+
46000896 = 28389673
BaseRepresentation
bin1010111101111…
…0101100000000
310012120002100220
42233132230000
543234012041
64321543040
71066000254
oct257365400
9105502326
1046000896
1123a6a177
12134a4a80
1396b8086
146176264
154089d66
hex2bdeb00

46000896 has 72 divisors (see below), whose sum is σ = 123989040. Its totient is φ = 15138816.

The previous prime is 46000891. The next prime is 46000909. The reversal of 46000896 is 69800064.

46000896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46000891) by changing a digit.

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, 68016 + ... + 68688.

It is an arithmetic number, because the mean of its divisors is an integer number (1722070).

Almost surely, 246000896 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 46000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61994520).

46000896 is an abundant number, since it is smaller than the sum of its proper divisors (77988144).

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

46000896 is an equidigital number, since it uses as much as digits as its factorization.

46000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 46000896 is about 6782.3960368000. The cubic root of 46000896 is about 358.3071134712.

The spelling of 46000896 in words is "forty-six million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 534 673 712 768 1068 1346 1424 2019 2136 2692 2848 4038 4272 5384 5696 8076 8544 10768 11392 16152 17088 21536 22784 32304 34176 43072 59897 64608 68352 86144 119794 129216 172288 179691 239588 258432 359382 479176 516864 718764 958352 1437528 1916704 2875056 3833408 5750112 7666816 11500224 15333632 23000448 46000896