Search a number
-
+
45431232 = 2637211439
BaseRepresentation
bin1010110101001…
…1100111000000
310011111010221020
42231103213000
543112244412
64301425440
71061105400
oct255234700
9104433836
1045431232
1123710180
121326b280
1395489b2
146068800
153ec618c
hex2b539c0

45431232 has 168 divisors, whose sum is σ = 152887680. Its totient is φ = 11773440.

The previous prime is 45431203. The next prime is 45431257. The reversal of 45431232 is 23213454.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103269 + ... + 103707.

Almost surely, 245431232 is an apocalyptic number.

45431232 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 45431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

45431232 is an abundant number, since it is smaller than the sum of its proper divisors (107456448).

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

45431232 is a wasteful number, since it uses less digits than its factorization.

45431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 45431232 is about 6740.2694308165. The cubic root of 45431232 is about 356.8219027087.

Adding to 45431232 its reverse (23213454), we get a palindrome (68644686).

It can be divided in two parts, 4543 and 1232, that added together give a palindrome (5775).

The spelling of 45431232 in words is "forty-five million, four hundred thirty-one thousand, two hundred thirty-two".