Search a number
-
+
145292448 = 2537267461
BaseRepresentation
bin10001010100011…
…11110010100000
3101010101121202210
420222033302200
5244143324243
622230042120
73412652100
oct1052176240
9333347683
10145292448
1175017404
12407a9340
1324141282
1415421200
15cb4e933
hex8a8fca0

145292448 has 144 divisors (see below), whose sum is σ = 451259424. Its totient is φ = 40803840.

The previous prime is 145292437. The next prime is 145292461. The reversal of 145292448 is 844292541.

It is a super-2 number, since 2×1452924482 = 42219790891665408, which contains 22 as substring.

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, 314938 + ... + 315398.

It is an arithmetic number, because the mean of its divisors is an integer number (3133746).

Almost surely, 2145292448 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 145292448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225629712).

145292448 is an abundant number, since it is smaller than the sum of its proper divisors (305966976).

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

145292448 is a wasteful number, since it uses less digits than its factorization.

145292448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 145292448 is about 12053.7317043312. The cubic root of 145292448 is about 525.7117457569.

The spelling of 145292448 in words is "one hundred forty-five million, two hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 67 84 96 98 112 134 147 168 196 201 224 268 294 336 392 402 461 469 536 588 672 784 804 922 938 1072 1176 1383 1407 1568 1608 1844 1876 2144 2352 2766 2814 3216 3227 3283 3688 3752 4704 5532 5628 6432 6454 6566 7376 7504 9681 9849 11064 11256 12908 13132 14752 15008 19362 19698 22128 22512 22589 25816 26264 30887 38724 39396 44256 45024 45178 51632 52528 61774 67767 77448 78792 90356 92661 103264 105056 123548 135534 154896 157584 180712 185322 216209 247096 271068 309792 315168 361424 370644 432418 494192 542136 648627 722848 741288 864836 988384 1084272 1297254 1482576 1513463 1729672 2168544 2594508 2965152 3026926 3459344 4540389 5189016 6053852 6918688 9080778 10378032 12107704 18161556 20756064 24215408 36323112 48430816 72646224 145292448