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45149874 = 23721123607
BaseRepresentation
bin1010110000111…
…0111010110010
310010221211222120
42230032322302
543024243444
64251415110
71055524200
oct254167262
9103854876
1045149874
1123538850
1213154496
13947a903
145dd4070
153e6cb19
hex2b0eeb2

45149874 has 96 divisors (see below), whose sum is σ = 119771136. Its totient is φ = 11198880.

The previous prime is 45149873. The next prime is 45149887. The reversal of 45149874 is 47894154.

It is a super-2 number, since 2×451498742 = 4077022244431752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45149873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74079 + ... + 74685.

It is an arithmetic number, because the mean of its divisors is an integer number (1247616).

Almost surely, 245149874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45149874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59885568).

45149874 is an abundant number, since it is smaller than the sum of its proper divisors (74621262).

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

45149874 is a wasteful number, since it uses less digits than its factorization.

45149874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 45149874 is about 6719.3655950543. The cubic root of 45149874 is about 356.0837712636.

The spelling of 45149874 in words is "forty-five million, one hundred forty-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 49 66 69 77 98 138 147 154 161 231 253 294 322 462 483 506 539 607 759 966 1078 1127 1214 1518 1617 1771 1821 2254 3234 3381 3542 3642 4249 5313 6677 6762 8498 10626 12397 12747 13354 13961 20031 24794 25494 27922 29743 37191 40062 41883 46739 59486 74382 83766 89229 93478 97727 140217 153571 178458 195454 280434 293181 307142 327173 460713 586362 654346 684089 921426 981519 1074997 1368178 1963038 2052267 2149994 3224991 4104534 6449982 7524979 15049958 22574937 45149874