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45148012 = 22721322947
BaseRepresentation
bin1010110000111…
…0011101101100
310010221202102121
42230032131230
543024214022
64251402324
71055515600
oct254163554
9103852377
1045148012
1123537408
12131533a4
139479b00
145dd3500
153e6c2c7
hex2b0e76c

45148012 has 108 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 16877952.

The previous prime is 45147959. The next prime is 45148013. The reversal of 45148012 is 21084154.

It is not an unprimeable number, because it can be changed into a prime (45148013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 960573 + ... + 960619.

It is an arithmetic number, because the mean of its divisors is an integer number (973560).

Almost surely, 245148012 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 45148012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572240).

45148012 is an abundant number, since it is smaller than the sum of its proper divisors (59996468).

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

45148012 is a wasteful number, since it uses less digits than its factorization.

45148012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 45148012 is about 6719.2270388788. The cubic root of 45148012 is about 356.0788761809.

The spelling of 45148012 in words is "forty-five million, one hundred forty-eight thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 29 47 49 52 58 91 94 98 116 169 182 188 196 203 329 338 364 377 406 611 637 658 676 754 812 1183 1222 1274 1316 1363 1421 1508 2303 2366 2444 2548 2639 2726 2842 4277 4606 4732 4901 5278 5452 5684 7943 8281 8554 9212 9541 9802 10556 15886 16562 17108 17719 18473 19082 19604 29939 31772 33124 34307 35438 36946 38164 55601 59878 66787 68614 70876 73892 111202 119756 124033 133574 137228 222404 230347 240149 248066 267148 389207 460694 480298 496132 778414 868231 921388 960596 1556828 1612429 1736462 3224858 3472924 6449716 11287003 22574006 45148012