Search a number
-
+
2623131048 = 233236597211
BaseRepresentation
bin1001110001011001…
…1100110110101000
320202210212212022210
42130112130312220
520333010143143
61112142445120
7122001150246
oct23426346650
96683785283
102623131048
1111267641aa
126125937a0
1332a5b1565
141ac543796
1510544e033
hex9c59cda8

2623131048 has 64 divisors (see below), whose sum is σ = 6854284800. Its totient is φ = 834975680.

The previous prime is 2623131047. The next prime is 2623131083. The reversal of 2623131048 is 8401313262.

2623131048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2623131041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360163 + ... + 367373.

It is an arithmetic number, because the mean of its divisors is an integer number (107098200).

Almost surely, 22623131048 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 2623131048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427142400).

2623131048 is an abundant number, since it is smaller than the sum of its proper divisors (4231153752).

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

2623131048 is a wasteful number, since it uses less digits than its factorization.

2623131048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2623131048 is about 51216.5114782333. The cubic root of 2623131048 is about 1379.1346265352.

The spelling of 2623131048 in words is "two billion, six hundred twenty-three million, one hundred thirty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 659 1318 1977 2636 3954 5272 7211 7908 14422 15157 15816 21633 28844 30314 43266 45471 57688 60628 86532 90942 121256 165853 173064 181884 331706 363768 497559 663412 995118 1326824 1990236 3980472 4752049 9504098 14256147 19008196 28512294 38016392 57024588 109297127 114049176 218594254 327891381 437188508 655782762 874377016 1311565524 2623131048