[go: up one dir, main page]

Search a number
-
+
94440168 = 2334178573
BaseRepresentation
bin1011010000100…
…00101011101000
320120201001120000
411220100223220
5143134041133
613212103000
72224504524
oct550205350
9216631500
1094440168
1149344329
1227764a60
1316747c74
14c784d84
158457413
hex5a10ae8

94440168 has 80 divisors (see below), whose sum is σ = 280112580. Its totient is φ = 29624832.

The previous prime is 94440163. The next prime is 94440187. The reversal of 94440168 is 86104449.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 311364 = 9702^2 + 558^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (94440163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6730 + ... + 15302.

Almost surely, 294440168 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 94440168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140056290).

94440168 is an abundant number, since it is smaller than the sum of its proper divisors (185672412).

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

94440168 is a wasteful number, since it uses less digits than its factorization.

94440168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 94440168 is about 9718.0331343333. The cubic root of 94440168 is about 455.3921957554.

The spelling of 94440168 in words is "ninety-four million, four hundred forty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 8573 11016 17146 25719 34292 51438 68584 77157 102876 145741 154314 205752 231471 291482 308628 437223 462942 582964 617256 694413 874446 925884 1165928 1311669 1388826 1748892 1851768 2623338 2777652 3497784 3935007 5246676 5555304 7870014 10493352 11805021 15740028 23610042 31480056 47220084 94440168