Search a number
-
+
1079480550 = 235237672903
BaseRepresentation
bin100000001010111…
…1001000011100110
32210020020021221010
41000111321003212
54202321334200
6255041003050
735515301421
oct10025710346
92706207833
101079480550
1150437a795
12261623486
13142847cb5
14a351a9b8
1564b81150
hex405790e6

1079480550 has 96 divisors (see below), whose sum is σ = 2791464192. Its totient is φ = 275806080.

The previous prime is 1079480539. The next prime is 1079480593. The reversal of 1079480550 is 550849701.

It is a junction number, because it is equal to n+sod(n) for n = 1079480499 and 1079480508.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 370399 + ... + 373301.

It is an arithmetic number, because the mean of its divisors is an integer number (29077752).

Almost surely, 21079480550 is an apocalyptic number.

1079480550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079480550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395732096).

1079480550 is an abundant number, since it is smaller than the sum of its proper divisors (1711983642).

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

1079480550 is a wasteful number, since it uses less digits than its factorization.

1079480550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 1079480550 is about 32855.4493197095. The cubic root of 1079480550 is about 1025.8210514410.

The spelling of 1079480550 in words is "one billion, seventy-nine million, four hundred eighty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 67 74 75 111 134 150 185 201 222 335 370 402 555 670 925 1005 1110 1675 1850 2010 2479 2775 2903 3350 4958 5025 5550 5806 7437 8709 10050 12395 14515 14874 17418 24790 29030 37185 43545 61975 72575 74370 87090 107411 123950 145150 185925 194501 214822 217725 322233 371850 389002 435450 537055 583503 644466 972505 1074110 1167006 1611165 1945010 2685275 2917515 3222330 4862525 5370550 5835030 7196537 8055825 9725050 14393074 14587575 16111650 21589611 29175150 35982685 43179222 71965370 107948055 179913425 215896110 359826850 539740275 1079480550