[go: up one dir, main page]

Search a number
-
+
3039165972 = 2232315215227
BaseRepresentation
bin1011010100100101…
…1111111000010100
321211210201121221200
42311021133320110
522211011302342
61221323512500
7135212325123
oct26511377024
97753647850
103039165972
11131a591417
12709988730
1339584857b
1420b8bdaba
1512bc2d94c
hexb525fe14

3039165972 has 72 divisors (see below), whose sum is σ = 7946894592. Its totient is φ = 978307200.

The previous prime is 3039165967. The next prime is 3039165979. The reversal of 3039165972 is 2795619303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3039165979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578823 + ... + 584049.

It is an arithmetic number, because the mean of its divisors is an integer number (110373536).

Almost surely, 23039165972 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 3039165972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973447296).

3039165972 is an abundant number, since it is smaller than the sum of its proper divisors (4907728620).

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

3039165972 is a wasteful number, since it uses less digits than its factorization.

3039165972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3039165972 is about 55128.6311457123. The cubic root of 3039165972 is about 1448.4987986046.

The spelling of 3039165972 in words is "three billion, thirty-nine million, one hundred sixty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 521 558 1042 1116 1563 2084 3126 4689 5227 6252 9378 10454 15681 16151 18756 20908 31362 32302 47043 48453 62724 64604 94086 96906 145359 162037 188172 193812 290718 324074 486111 581436 648148 972222 1458333 1944444 2723267 2916666 5446534 5833332 8169801 10893068 16339602 24509403 32679204 49018806 84421277 98037612 168842554 253263831 337685108 506527662 759791493 1013055324 1519582986 3039165972