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145914048 = 263474021
BaseRepresentation
bin10001011001001…
…11100011000000
3101011120012110000
420230213203000
5244323222143
622251240000
73421151250
oct1054474300
9334505400
10145914048
1175401425
1240a49000
13242cb197
1415543960
15cc23bd3
hex8b278c0

145914048 has 140 divisors (see below), whose sum is σ = 494448592. Its totient is φ = 41679360.

The previous prime is 145914037. The next prime is 145914089. The reversal of 145914048 is 840419541.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 34278 + ... + 38298.

Almost surely, 2145914048 is an apocalyptic number.

145914048 is a gapful number since it is divisible by the number (18) 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 145914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247224296).

145914048 is an abundant number, since it is smaller than the sum of its proper divisors (348534544).

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

145914048 is an equidigital number, since it uses as much as digits as its factorization.

145914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145914048 is about 12079.4887309025. The cubic root of 145914048 is about 526.4603910106.

The spelling of 145914048 in words is "one hundred forty-five million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4021 4032 4536 5184 6048 8042 9072 12063 12096 16084 18144 24126 28147 32168 36189 36288 48252 56294 64336 72378 84441 96504 108567 112588 128672 144756 168882 193008 217134 225176 253323 257344 289512 325701 337764 386016 434268 450352 506646 579024 651402 675528 759969 772032 868536 900704 1013292 1158048 1302804 1351056 1519938 1737072 1801408 2026584 2279907 2316096 2605608 2702112 3039876 3474144 4053168 4559814 5211216 5404224 6079752 6948288 8106336 9119628 10422432 12159504 16212672 18239256 20844864 24319008 36478512 48638016 72957024 145914048