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45164364 = 22372397241
BaseRepresentation
bin1010110001001…
…0011101001100
310010222120212020
42230102131030
543030224424
64252010140
71055614350
oct254223514
9103876766
1045164364
1123548723
1213160950
13948439b
145dd9460
153e72079
hex2b1274c

45164364 has 96 divisors (see below), whose sum is σ = 127497216. Its totient is φ = 12165120.

The previous prime is 45164363. The next prime is 45164369. The reversal of 45164364 is 46346154.

It is not an unprimeable number, because it can be changed into a prime (45164363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187284 + ... + 187524.

It is an arithmetic number, because the mean of its divisors is an integer number (1328096).

Almost surely, 245164364 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 45164364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63748608).

45164364 is an abundant number, since it is smaller than the sum of its proper divisors (82332852).

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

45164364 is a wasteful number, since it uses less digits than its factorization.

45164364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 45164364 is about 6720.4437353496. The cubic root of 45164364 is about 356.1218599781.

The spelling of 45164364 in words is "forty-five million, one hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 97 138 161 194 241 276 291 322 388 482 483 582 644 679 723 964 966 1164 1358 1446 1687 1932 2037 2231 2716 2892 3374 4074 4462 5061 5543 6693 6748 8148 8924 10122 11086 13386 15617 16629 20244 22172 23377 26772 31234 33258 38801 46754 46851 62468 66516 70131 77602 93508 93702 116403 140262 155204 163639 187404 232806 280524 327278 465612 490917 537671 654556 981834 1075342 1613013 1963668 2150684 3226026 3763697 6452052 7527394 11291091 15054788 22582182 45164364