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45140032 = 267175927
BaseRepresentation
bin1010110000110…
…0100001000000
310010221100111001
42230030201000
543023440112
64251301344
71055453410
oct254144100
9103840431
1045140032
1123531413
121314a854
1394762a2
145dd0640
153e69c57
hex2b0c840

45140032 has 56 divisors (see below), whose sum is σ = 108411264. Its totient is φ = 18204672.

The previous prime is 45140027. The next prime is 45140033. The reversal of 45140032 is 23004154.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×451400322 = 4075244977922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45139991 and 45140009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45140033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4653 + ... + 10579.

Almost surely, 245140032 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 45140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54205632).

45140032 is an abundant number, since it is smaller than the sum of its proper divisors (63271232).

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

45140032 is a wasteful number, since it uses less digits than its factorization.

45140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45140032 is about 6718.6331943335. The cubic root of 45140032 is about 356.0578957307.

Adding to 45140032 its reverse (23004154), we get a palindrome (68144186).

The spelling of 45140032 in words is "forty-five million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 5927 7616 11854 23708 41489 47416 82978 94832 100759 165956 189664 201518 331912 379328 403036 663824 705313 806072 1327648 1410626 1612144 2655296 2821252 3224288 5642504 6448576 11285008 22570016 45140032