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46398 = 23111937
BaseRepresentation
bin1011010100111110
32100122110
423110332
52441043
6554450
7252162
oct132476
970573
1046398
1131950
1222a26
1318171
1412ca2
15db33
hexb53e

46398 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 12960.

The previous prime is 46381. The next prime is 46399. The reversal of 46398 is 89364.

Its product of digits (5184) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

246398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

46398 is an abundant number, since it is smaller than the sum of its proper divisors (63042).

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

46398 is a wasteful number, since it uses less digits than its factorization.

46398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

The product of its digits is 5184, while the sum is 30.

The square root of 46398 is about 215.4019498519. The cubic root of 46398 is about 35.9335192818.

Subtracting from 46398 its product of digits (5184), we obtain a palindrome (41214).

It can be divided in two parts, 463 and 98, that added together give a triangular number (561 = T33).

The spelling of 46398 in words is "forty-six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 4218 7733 15466 23199 46398