Search a number
-
+
2503216272 = 243172315821
BaseRepresentation
bin1001010100110100…
…0000110010010000
320110110020120011210
42111031000302100
520111310410042
61052220340120
7116013662424
oct22515006220
96413216153
102503216272
111075000487
1259a3a4640
1330b7b737b
1419a64ab84
15e9b63a9c
hex95340c90

2503216272 has 120 divisors (see below), whose sum is σ = 7092220672. Its totient is φ = 759859200.

The previous prime is 2503216267. The next prime is 2503216277. The reversal of 2503216272 is 2726123052.

It is an interprime number because it is at equal distance from previous prime (2503216267) and next prime (2503216277).

It is not an unprimeable number, because it can be changed into a prime (2503216277) 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 23 ways as a sum of consecutive naturals, for example, 427122 + ... + 432942.

Almost surely, 22503216272 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 2503216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546110336).

2503216272 is an abundant number, since it is smaller than the sum of its proper divisors (4589004400).

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

2503216272 is a wasteful number, since it uses less digits than its factorization.

2503216272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2503216272 is about 50032.1523822432. The cubic root of 2503216272 is about 1357.7905792427.

The spelling of 2503216272 in words is "two billion, five hundred three million, two hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 289 372 408 496 527 578 744 816 867 1054 1156 1488 1581 1734 2108 2312 3162 3468 4216 4624 5821 6324 6936 8432 8959 11642 12648 13872 17463 17918 23284 25296 26877 34926 35836 46568 53754 69852 71672 93136 98957 107508 139704 143344 180451 197914 215016 279408 296871 360902 395828 430032 541353 593742 721804 791656 1082706 1187484 1443608 1583312 1682269 2165412 2374968 2887216 3067667 3364538 4330824 4749936 5046807 6135334 6729076 8661648 9203001 10093614 12270668 13458152 18406002 20187228 24541336 26916304 36812004 40374456 49082672 52150339 73624008 80748912 104300678 147248016 156451017 208601356 312902034 417202712 625804068 834405424 1251608136 2503216272