[go: up one dir, main page]

Search a number
-
+
842540616 = 23343735141
BaseRepresentation
bin110010001110000…
…010011001001000
32011201101111110000
4302032002121020
53211142244431
6215334323000
726610322431
oct6216023110
92151344400
10842540616
113a2657265
121b61b9460
13105728c58
147dc80488
154de7b9e6
hex32382648

842540616 has 80 divisors (see below), whose sum is σ = 2423743740. Its totient is φ = 273248640.

The previous prime is 842540597. The next prime is 842540627. The reversal of 842540616 is 616045248.

It can be written as a sum of positive squares in 2 ways, for example, as 813960900 + 28579716 = 28530^2 + 5346^2 .

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

It is an unprimeable number.

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, 6406 + ... + 41546.

Almost surely, 2842540616 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 842540616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211871870).

842540616 is an abundant number, since it is smaller than the sum of its proper divisors (1581203124).

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

842540616 is a wasteful number, since it uses less digits than its factorization.

842540616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35196 (or 35183 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 842540616 is about 29026.5501911612. The cubic root of 842540616 is about 944.4890964735.

The spelling of 842540616 in words is "eight hundred forty-two million, five hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 23976 35141 70282 105423 140564 210846 281128 316269 421692 632538 843384 948807 1265076 1300217 1897614 2530152 2600434 2846421 3795228 3900651 5200868 5692842 7590456 7801302 10401736 11385684 11701953 15602604 22771368 23403906 31205208 35105859 46807812 70211718 93615624 105317577 140423436 210635154 280846872 421270308 842540616