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45781092 = 22337241211
BaseRepresentation
bin1010111010100…
…1000001100100
310012010220212000
42232221001210
543204443332
64313125300
71064063400
oct256510144
9105126760
1045781092
112392a015
12133b9830
13963c006
14611a100
154044b7c
hex2ba9064

45781092 has 144 divisors (see below), whose sum is σ = 142107840. Its totient is φ = 12700800.

The previous prime is 45781091. The next prime is 45781093. The reversal of 45781092 is 29018754.

It is an interprime number because it is at equal distance from previous prime (45781091) and next prime (45781093).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45781091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216867 + ... + 217077.

It is an arithmetic number, because the mean of its divisors is an integer number (986860).

Almost surely, 245781092 is an apocalyptic number.

45781092 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45781092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71053920).

45781092 is an abundant number, since it is smaller than the sum of its proper divisors (96326748).

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

45781092 is a wasteful number, since it uses less digits than its factorization.

45781092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45781092 is about 6766.1726256429. The cubic root of 45781092 is about 357.7355078536.

The spelling of 45781092 in words is "forty-five million, seven hundred eighty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 82 84 98 108 123 126 147 164 189 196 211 246 252 287 294 369 378 422 441 492 574 588 633 738 756 844 861 882 1107 1148 1266 1323 1476 1477 1722 1764 1899 2009 2214 2532 2583 2646 2954 3444 3798 4018 4428 4431 5166 5292 5697 5908 6027 7596 7749 8036 8651 8862 10332 10339 11394 12054 13293 15498 17302 17724 18081 20678 22788 24108 25953 26586 30996 31017 34604 36162 39879 41356 51906 53172 54243 60557 62034 72324 77859 79758 93051 103812 108486 121114 124068 155718 159516 181671 186102 216972 233577 242228 279153 311436 363342 372204 423899 467154 545013 558306 726684 847798 934308 1090026 1116612 1271697 1635039 1695596 2180052 2543394 3270078 3815091 5086788 6540156 7630182 11445273 15260364 22890546 45781092