Search a number
-
+
78329490 = 23523611861
BaseRepresentation
bin1001010101100…
…11011010010010
312110101112212020
410222303122102
5130023020430
611434512310
71640534601
oct452633222
9173345766
1078329490
1140240118
1222295696
13132c6c15
14a58da38
156d23b10
hex4ab3692

78329490 has 64 divisors (see below), whose sum is σ = 199487232. Its totient is φ = 19641600.

The previous prime is 78329483. The next prime is 78329491. The reversal of 78329490 is 9492387.

It is a super-2 number, since 2×783294902 = 12271018007320200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (78329491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41160 + ... + 43020.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 278329490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78329490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

78329490 is an abundant number, since it is smaller than the sum of its proper divisors (121157742).

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

78329490 is a wasteful number, since it uses less digits than its factorization.

78329490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 78329490 is about 8850.3949064434. The cubic root of 78329490 is about 427.8666462295.

The spelling of 78329490 in words is "seventy-eight million, three hundred twenty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 115 122 138 183 230 305 345 366 610 690 915 1403 1830 1861 2806 3722 4209 5583 7015 8418 9305 11166 14030 18610 21045 27915 42090 42803 55830 85606 113521 128409 214015 227042 256818 340563 428030 567605 642045 681126 1135210 1284090 1702815 2610983 3405630 5221966 7832949 13054915 15665898 26109830 39164745 78329490