Search a number
-
+
45928152 = 233217157239
BaseRepresentation
bin1010111100110…
…0111011011000
310012102101120200
42233030323120
543224200102
64320222200
71065245214
oct257147330
9105371520
1045928152
1123a1a556
121346a960
139690c2a
146157944
15407351c
hex2bcced8

45928152 has 96 divisors (see below), whose sum is σ = 133099200. Its totient is φ = 14257152.

The previous prime is 45928117. The next prime is 45928163. The reversal of 45928152 is 25182954.

It is a super-2 number, since 2×459281522 = 4218790292270208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192049 + ... + 192287.

It is an arithmetic number, because the mean of its divisors is an integer number (1386450).

Almost surely, 245928152 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 45928152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66549600).

45928152 is an abundant number, since it is smaller than the sum of its proper divisors (87171048).

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

45928152 is a wasteful number, since it uses less digits than its factorization.

45928152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 45928152 is about 6777.0312084275. The cubic root of 45928152 is about 358.1181429203.

The spelling of 45928152 in words is "forty-five million, nine hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 157 204 239 306 314 408 471 478 612 628 717 942 956 1224 1256 1413 1434 1884 1912 2151 2669 2826 2868 3768 4063 4302 5338 5652 5736 8007 8126 8604 10676 11304 12189 16014 16252 17208 21352 24021 24378 32028 32504 36567 37523 48042 48756 64056 73134 75046 96084 97512 112569 146268 150092 192168 225138 292536 300184 337707 450276 637891 675414 900552 1275782 1350828 1913673 2551564 2701656 3827346 5103128 5741019 7654692 11482038 15309384 22964076 45928152