| Base | Representation |
|---|---|
| bin | 1010111111111… |
| … | …1000011100000 |
| 3 | 10012210211020010 |
| 4 | 2233333003200 |
| 5 | 43302232342 |
| 6 | 4324444520 |
| 7 | 1100061630 |
| oct | 257770340 |
| 9 | 105724203 |
| 10 | 46133472 |
| 11 | 2404a840 |
| 12 | 13549740 |
| 13 | 9733518 |
| 14 | 61ac6c0 |
| 15 | 40b429c |
| hex | 2bff0e0 |
46133472 has 144 divisors (see below), whose sum is σ = 152917632. Its totient is φ = 11831040.
The previous prime is 46133471. The next prime is 46133473. The reversal of 46133472 is 27433164.
It is an interprime number because it is at equal distance from previous prime (46133471) and next prime (46133473).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (12096) is a multiple of the sum of its prime factors (189).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46133471) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583929 + ... + 584007.
It is an arithmetic number, because the mean of its divisors is an integer number (1061928).
Almost surely, 246133472 is an apocalyptic number.
46133472 is a gapful number since it is divisible by the number (42) 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 46133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76458816).
46133472 is an abundant number, since it is smaller than the sum of its proper divisors (106784160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46133472 is a wasteful number, since it uses less digits than its factorization.
46133472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189 (or 102 counting only the distinct ones).
The product of its digits is 12096, while the sum is 30.
The square root of 46133472 is about 6792.1625422247. The cubic root of 46133472 is about 358.6510006992.
It can be divided in two parts, 461 and 33472, that added together give a palindrome (33933).
The spelling of 46133472 in words is "forty-six million, one hundred thirty-three thousand, four hundred seventy-two".
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