Search a number
-
+
145040448 = 2637311347
BaseRepresentation
bin10001010010100…
…10010001000000
3101002220211002110
420221102101000
5244112243243
622220415320
73410552310
oct1051222100
9332824073
10145040448
1174965043
12406a7540
1324083667
1415397440
15caeee33
hex8a52440

145040448 has 112 divisors (see below), whose sum is σ = 441252864. Its totient is φ = 41187840.

The previous prime is 145040437. The next prime is 145040479. The reversal of 145040448 is 844040541.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417811 + ... + 418157.

Almost surely, 2145040448 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 145040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220626432).

145040448 is an abundant number, since it is smaller than the sum of its proper divisors (296212416).

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

145040448 is a wasteful number, since it uses less digits than its factorization.

145040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 145040448 is about 12043.2739734675. The cubic root of 145040448 is about 525.4076326209.

Adding to 145040448 its reverse (844040541), we get a palindrome (989080989).

The spelling of 145040448 in words is "one hundred forty-five million, forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 311 336 347 448 622 672 694 933 1041 1244 1344 1388 1866 2082 2177 2429 2488 2776 3732 4164 4354 4858 4976 5552 6531 7287 7464 8328 8708 9716 9952 11104 13062 14574 14928 16656 17416 19432 19904 22208 26124 29148 29856 33312 34832 38864 52248 58296 59712 66624 69664 77728 104496 107917 116592 139328 155456 208992 215834 233184 323751 417984 431668 466368 647502 755419 863336 1295004 1510838 1726672 2266257 2590008 3021676 3453344 4532514 5180016 6043352 6906688 9065028 10360032 12086704 18130056 20720064 24173408 36260112 48346816 72520224 145040448