Search a number
-
+
168454496 = 25717311427
BaseRepresentation
bin10100000101001…
…10100101100000
3102201222101010102
422002212211200
5321111020441
624414321532
74113560660
oct1202464540
9381871112
10168454496
11870a73a1
12484b92a8
1328b90a22
14185301a0
15ebc769b
hexa0a6960

168454496 has 96 divisors (see below), whose sum is σ = 414554112. Its totient is φ = 65710080.

The previous prime is 168454493. The next prime is 168454501. The reversal of 168454496 is 694454861.

It is a happy number.

168454496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1684544962 = 56753834445228032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 168454496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168454493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117335 + ... + 118761.

It is an arithmetic number, because the mean of its divisors is an integer number (4318272).

Almost surely, 2168454496 is an apocalyptic number.

168454496 is a gapful number since it is divisible by the number (16) 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 168454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

168454496 is an abundant number, since it is smaller than the sum of its proper divisors (246099616).

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

168454496 is a wasteful number, since it uses less digits than its factorization.

168454496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1484 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 168454496 is about 12979.0021188071. The cubic root of 168454496 is about 552.2819745388.

The spelling of 168454496 in words is "one hundred sixty-eight million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 68 112 119 124 136 217 224 238 248 272 434 476 496 527 544 868 952 992 1054 1427 1736 1904 2108 2854 3472 3689 3808 4216 5708 6944 7378 8432 9989 11416 14756 16864 19978 22832 24259 29512 39956 44237 45664 48518 59024 79912 88474 97036 118048 159824 169813 176948 194072 309659 319648 339626 353896 388144 619318 679252 707792 752029 776288 1238636 1358504 1415584 1504058 2477272 2717008 3008116 4954544 5264203 5434016 6016232 9909088 10528406 12032464 21056812 24064928 42113624 84227248 168454496