Search a number
-
+
168746448 = 243131943331
BaseRepresentation
bin10100000111011…
…01110111010000
3102202112012121110
422003231313100
5321144341243
624424453320
74116215103
oct1203556720
9382465543
10168746448
1187286782
124861a240
1328c63890
14185a873a
15ec33e33
hexa0eddd0

168746448 has 160 divisors (see below), whose sum is σ = 507189760. Its totient is φ = 47900160.

The previous prime is 168746411. The next prime is 168746453. The reversal of 168746448 is 844647861.

168746448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 168746397 and 168746406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509643 + ... + 509973.

It is an arithmetic number, because the mean of its divisors is an integer number (3169936).

Almost surely, 2168746448 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 168746448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253594880).

168746448 is an abundant number, since it is smaller than the sum of its proper divisors (338443312).

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

168746448 is a wasteful number, since it uses less digits than its factorization.

168746448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 168746448 is about 12990.2443395034. The cubic root of 168746448 is about 552.6008475304.

The spelling of 168746448 in words is "one hundred sixty-eight million, seven hundred forty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 43 48 52 57 76 78 86 104 114 129 152 156 172 208 228 247 258 304 312 331 344 456 494 516 559 624 662 688 741 817 912 988 993 1032 1118 1324 1482 1634 1677 1976 1986 2064 2236 2451 2648 2964 3268 3354 3952 3972 4303 4472 4902 5296 5928 6289 6536 6708 7944 8606 8944 9804 10621 11856 12578 12909 13072 13416 14233 15888 17212 18867 19608 21242 25156 25818 26832 28466 31863 34424 37734 39216 42484 42699 50312 51636 56932 63726 68848 75468 81757 84968 85398 100624 103272 113864 127452 150936 163514 169936 170796 185029 206544 227728 245271 254904 270427 301872 327028 341592 370058 490542 509808 540854 555087 654056 683184 740116 811281 981084 1081708 1110174 1308112 1480232 1622562 1962168 2163416 2220348 2960464 3245124 3515551 3924336 4326832 4440696 6490248 7031102 8881392 10546653 12980496 14062204 21093306 28124408 42186612 56248816 84373224 168746448