Search a number
-
+
46256472 = 23325910889
BaseRepresentation
bin1011000001110…
…1000101011000
310020001001221200
42300131011120
543320201342
64331234200
71101113343
oct260350530
9106031850
1046256472
1124124199
12135a8960
1397774c2
14620145a
1540da94c
hex2c1d158

46256472 has 48 divisors (see below), whose sum is σ = 127413000. Its totient is φ = 15156096.

The previous prime is 46256467. The next prime is 46256477. The reversal of 46256472 is 27465264.

46256472 is a `hidden beast` number, since 4 + 6 + 2 + 5 + 647 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (46256467) and next prime (46256477).

It is a super-2 number, since 2×462564722 = 4279322403773568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46256477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197 + ... + 9692.

Almost surely, 246256472 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 46256472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63706500).

46256472 is an abundant number, since it is smaller than the sum of its proper divisors (81156528).

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

46256472 is a wasteful number, since it uses less digits than its factorization.

46256472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10960 (or 10953 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 46256472 is about 6801.2110686259. The cubic root of 46256472 is about 358.9694601882.

The spelling of 46256472 in words is "forty-six million, two hundred fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 10889 21778 32667 43556 65334 87112 98001 130668 196002 261336 392004 642451 784008 1284902 1927353 2569804 3854706 5139608 5782059 7709412 11564118 15418824 23128236 46256472