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45168396 = 223721319311
BaseRepresentation
bin1010110001001…
…1011100001100
310010222210101120
42230103130030
543030342041
64252040540
71055632200
oct254233414
9103883346
1045168396
1123550759
1213163150
139486180
145ddab00
153e73366
hex2b1370c

45168396 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 11249280.

The previous prime is 45168391. The next prime is 45168413. The reversal of 45168396 is 69386154.

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

It is not an unprimeable number, because it can be changed into a prime (45168391) 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, 145081 + ... + 145391.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 245168396 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 45168396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

45168396 is an abundant number, since it is smaller than the sum of its proper divisors (94258164).

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

45168396 is a wasteful number, since it uses less digits than its factorization.

45168396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 45168396 is about 6720.7437088465. The cubic root of 45168396 is about 356.1324571280.

The spelling of 45168396 in words is "forty-five million, one hundred sixty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 311 364 399 494 532 546 588 622 637 741 798 931 933 988 1092 1244 1274 1482 1596 1729 1862 1866 1911 2177 2548 2793 2964 3458 3724 3732 3822 4043 4354 5187 5586 5909 6531 6916 7644 8086 8708 10374 11172 11818 12103 12129 13062 15239 16172 17727 20748 23636 24206 24258 26124 28301 30478 35454 36309 41363 45717 48412 48516 56602 60956 70908 72618 76817 82726 84903 91434 113204 124089 145236 153634 165452 169806 182868 198107 230451 248178 289541 307268 339612 396214 460902 496356 537719 579082 594321 792428 868623 921804 1075438 1158164 1188642 1613157 1737246 2150876 2377284 3226314 3474492 3764033 6452628 7528066 11292099 15056132 22584198 45168396