Search a number
-
+
169438464 = 2832135657
BaseRepresentation
bin10100001100101…
…10110100000000
3102210211100212200
422012112310000
5321334012324
624451353200
74125126456
oct1206266400
9383740780
10169438464
1187709698
12488b2800
1329146860
14187089d6
15ed1dec9
hexa196d00

169438464 has 108 divisors (see below), whose sum is σ = 526205316. Its totient is φ = 52125696.

The previous prime is 169438457. The next prime is 169438469. The reversal of 169438464 is 464834961.

169438464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 148644864 = 4560^2 + 12192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169438469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27124 + ... + 32780.

Almost surely, 2169438464 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 169438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263102658).

169438464 is an abundant number, since it is smaller than the sum of its proper divisors (356766852).

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

169438464 is a wasteful number, since it uses less digits than its factorization.

169438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5675 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 169438464 is about 13016.8530759166. The cubic root of 169438464 is about 553.3552082447.

The spelling of 169438464 in words is "one hundred sixty-nine million, four hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 5657 7488 9984 11314 14976 16971 22628 29952 33942 45256 50913 67884 73541 90512 101826 135768 147082 181024 203652 220623 271536 294164 362048 407304 441246 543072 588328 661869 724096 814608 882492 1086144 1176656 1323738 1448192 1629216 1764984 2172288 2353312 2647476 3258432 3529968 4344576 4706624 5294952 6516864 7059936 9413248 10589904 13033728 14119872 18826496 21179808 28239744 42359616 56479488 84719232 169438464