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45172728 = 2335191223
BaseRepresentation
bin1010110001010…
…0011111111000
310011000000100000
42230110133320
543031011403
64252113000
71055650626
oct254243770
9104000300
1045172728
1123553a37
1213165760
139488133
145ddc516
153e747a3
hex2b147f8

45172728 has 96 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 14253408.

The previous prime is 45172727. The next prime is 45172739. The reversal of 45172728 is 82727154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45172692 and 45172701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45172727) 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, 36325 + ... + 37547.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 245172728 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 45172728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

45172728 is an abundant number, since it is smaller than the sum of its proper divisors (88488072).

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

45172728 is a wasteful number, since it uses less digits than its factorization.

45172728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 45172728 is about 6721.0659868804. The cubic root of 45172728 is about 356.1438420536.

The spelling of 45172728 in words is "forty-five million, one hundred seventy-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1223 1368 1539 1944 2052 2446 3078 3669 4104 4617 4892 6156 7338 9234 9784 11007 12312 14676 18468 22014 23237 29352 33021 36936 44028 46474 66042 69711 88056 92948 99063 132084 139422 185896 198126 209133 264168 278844 297189 396252 418266 557688 594378 627399 792504 836532 1188756 1254798 1673064 1882197 2377512 2509596 3764394 5019192 5646591 7528788 11293182 15057576 22586364 45172728