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45005232 = 2431039103
BaseRepresentation
bin1010101110101…
…1100110110000
310010200111120110
42223223212300
543010131412
64244341320
71054352406
oct253534660
9103614513
1045005232
112344a108
12130a4840
139429b1c
145d97476
153e3ed3c
hex2aeb9b0

45005232 has 40 divisors (see below), whose sum is σ = 117405184. Its totient is φ = 14854464.

The previous prime is 45005203. The next prime is 45005263. The reversal of 45005232 is 23250054.

It is a junction number, because it is equal to n+sod(n) for n = 45005199 and 45005208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 9495.

Almost surely, 245005232 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 45005232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58702592).

45005232 is an abundant number, since it is smaller than the sum of its proper divisors (72399952).

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

45005232 is a wasteful number, since it uses less digits than its factorization.

45005232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45005232 is about 6708.5938914202. The cubic root of 45005232 is about 355.7031148524.

Adding to 45005232 its reverse (23250054), we get a palindrome (68255286).

The spelling of 45005232 in words is "forty-five million, five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 9103 18206 27309 36412 54618 72824 109236 145648 218472 436944 937609 1875218 2812827 3750436 5625654 7500872 11251308 15001744 22502616 45005232